Atkin-Lehner |
2- 3+ 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550by |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
8363520 |
Modular degree for the optimal curve |
Δ |
-1.8640440815598E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,14066237,-4373162719] |
[a1,a2,a3,a4,a6] |
Generators |
[7511:720870:1] |
Generators of the group modulo torsion |
j |
31517913432479997575/19087811395172352 |
j-invariant |
L |
7.221829732746 |
L(r)(E,1)/r! |
Ω |
0.058664071962731 |
Real period |
R |
0.93261223575773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994272 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74550bn1 |
Quadratic twists by: 5 |