Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
72600dl |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
8842303841250000 = 24 · 3 · 57 · 119 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-155283,-23165562] |
[a1,a2,a3,a4,a6] |
Generators |
[527:6453:1] |
Generators of the group modulo torsion |
j |
702464/15 |
j-invariant |
L |
6.0480203295593 |
L(r)(E,1)/r! |
Ω |
0.24081439339019 |
Real period |
R |
6.2787155757813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982707 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14520b1 72600be1 |
Quadratic twists by: 5 -11 |