Atkin-Lehner |
3+ 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
59241d |
Isogeny class |
Conductor |
59241 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4257792 |
Modular degree for the optimal curve |
Δ |
4.6294685960792E+21 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15131274,-22423403337] |
[a1,a2,a3,a4,a6] |
j |
3256581892696035537817/39349833794415417 |
j-invariant |
L |
1.9150846794932 |
L(r)(E,1)/r! |
Ω |
0.076603387057248 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8463i1 |
Quadratic twists by: -7 |