Atkin-Lehner |
2- 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
70070bj |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
520 |
Product of Tamagawa factors cp |
deg |
81070080 |
Modular degree for the optimal curve |
Δ |
8.364444073979E+26 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11+ 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3554821866,81564993404663] |
[a1,a2,a3,a4,a6] |
j |
123110439197515931177737687/20727872167608320000 |
j-invariant |
L |
6.3096271658964 |
L(r)(E,1)/r! |
Ω |
0.04853559374078 |
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 |
70070cc1 |
Quadratic twists by: -7 |