Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600be |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
5140358512640000000 = 220 · 57 · 137 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 0 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-452075,42292250] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:8450:1] [95:450:1] |
Generators of the group modulo torsion |
j |
33076161/16640 |
j-invariant |
L |
10.085566912006 |
L(r)(E,1)/r! |
Ω |
0.214343322934 |
Real period |
R |
2.9408330680408 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8450m1 13520n1 5200n1 |
Quadratic twists by: -4 5 13 |