Atkin-Lehner |
3+ 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
59829g |
Isogeny class |
Conductor |
59829 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
31512806188017 = 3 · 78 · 113 · 372 |
Discriminant |
Eigenvalues |
1 3+ -4 7- 11- -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-200337,-34596120] |
[a1,a2,a3,a4,a6] |
Generators |
[524:1894:1] [2108:93370:1] |
Generators of the group modulo torsion |
j |
7558269224026249/267854433 |
j-invariant |
L |
7.5524042657131 |
L(r)(E,1)/r! |
Ω |
0.22566276458983 |
Real period |
R |
11.155886054788 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8547e1 |
Quadratic twists by: -7 |