Atkin-Lehner |
3- 5+ 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
31395k |
Isogeny class |
Conductor |
31395 |
Conductor |
∏ cp |
616 |
Product of Tamagawa factors cp |
deg |
39975936 |
Modular degree for the optimal curve |
Δ |
1.6651303967533E+26 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15201720821,-721419445095720] |
[a1,a2,a3,a4,a6] |
j |
388509792270658385415679324425374929/166513039675332689728111905 |
j-invariant |
L |
2.0938573874288 |
L(r)(E,1)/r! |
Ω |
0.013596476541778 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94185z1 |
Quadratic twists by: -3 |