Newspace parameters
Level: | |||
Weight: | |||
Character orbit: | 140.p (of order , degree , minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Coefficient field: | |
|
|
Defining polynomial: |
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Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | yes |
Projective image: | |
Projective field: | Galois closure of 3.1.980.1 |
Artin image: | |
Artin field: | Galois closure of 6.0.392000.1 |
-expansion
The -expansion and trace form are shown below.
Character values
We give the values of on generators for .
Embeddings
For each embedding of the coefficient field, the values are shown below.
For more information on an embedded modular form you can click on its label.
Label | ||||||||||||||||||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
39.1 |
|
−0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | −0.500000 | + | 0.866025i | −0.500000 | − | 0.866025i | −1.00000 | −0.500000 | + | 0.866025i | 1.00000 | 0 | −0.500000 | + | 0.866025i | ||||||||||||
79.1 | −0.500000 | + | 0.866025i | 0.500000 | + | 0.866025i | −0.500000 | − | 0.866025i | −0.500000 | + | 0.866025i | −1.00000 | −0.500000 | − | 0.866025i | 1.00000 | 0 | −0.500000 | − | 0.866025i | |||||||||||||
Inner twists
Char | Parity | Ord | Mult | Type |
---|---|---|---|---|
1.a | even | 1 | 1 | trivial |
20.d | odd | 2 | 1 | CM by |
7.c | even | 3 | 1 | inner |
140.p | odd | 6 | 1 | inner |
Twists
Hecke kernels
This newform subspace can be constructed as the kernel of the linear operator
acting on .