Atkin-Lehner |
3- 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
15399a |
Isogeny class |
Conductor |
15399 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
56320 |
Modular degree for the optimal curve |
Δ |
220958818893 = 317 · 29 · 59 |
Discriminant |
Eigenvalues |
2 3- 4 -1 4 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-10983,-442449] |
[a1,a2,a3,a4,a6] |
j |
200982912126976/303098517 |
j-invariant |
L |
7.4624017469872 |
L(r)(E,1)/r! |
Ω |
0.4664001091867 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5133d1 |
Quadratic twists by: -3 |