Atkin-Lehner |
2+ 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
7434a |
Isogeny class |
Conductor |
7434 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
8194111632 = 24 · 311 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2772,56704] |
[a1,a2,a3,a4,a6] |
Generators |
[35:23:1] |
Generators of the group modulo torsion |
j |
3231945186625/11240208 |
j-invariant |
L |
2.9982830543413 |
L(r)(E,1)/r! |
Ω |
1.3161922792417 |
Real period |
R |
0.56949943819545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59472bi1 2478d1 52038f1 |
Quadratic twists by: -4 -3 -7 |