Atkin-Lehner |
31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39401a |
Isogeny class |
Conductor |
39401 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
34968532535081 = 318 · 41 |
Discriminant |
Eigenvalues |
1 0 2 2 4 4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10751,323872] |
[a1,a2,a3,a4,a6] |
Generators |
[256975628520:3631057528963:11852352000] |
Generators of the group modulo torsion |
j |
154854153/39401 |
j-invariant |
L |
9.0894928829237 |
L(r)(E,1)/r! |
Ω |
0.61163886879793 |
Real period |
R |
14.860881717323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1271a1 |
Quadratic twists by: -31 |