Atkin-Lehner |
2+ 3- 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
122640l |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
7361466000 = 24 · 3 · 53 · 75 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -5 -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-516,1659] |
[a1,a2,a3,a4,a6] |
Generators |
[75:431:27] |
Generators of the group modulo torsion |
j |
951468070144/460091625 |
j-invariant |
L |
6.2287100044601 |
L(r)(E,1)/r! |
Ω |
1.1765489363779 |
Real period |
R |
5.2940509876493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999130011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61320e1 |
Quadratic twists by: -4 |