Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
35600x |
Isogeny class |
Conductor |
35600 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
1.8736994306543E+19 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 -2 -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-904448,257063348] |
[a1,a2,a3,a4,a6] |
Generators |
[372806:-8111104:343] |
Generators of the group modulo torsion |
j |
799052001908021545/182978460024832 |
j-invariant |
L |
6.7708551908964 |
L(r)(E,1)/r! |
Ω |
0.20484420594216 |
Real period |
R |
1.652684087342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4450k1 35600bj2 |
Quadratic twists by: -4 5 |