Atkin-Lehner |
2- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
15548b |
Isogeny class |
Conductor |
15548 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
47481179344635088 = 24 · 139 · 234 |
Discriminant |
Eigenvalues |
2- 0 2 -2 -2 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-93964,3605277] |
[a1,a2,a3,a4,a6] |
Generators |
[10952:648669:512] |
Generators of the group modulo torsion |
j |
1188031905792/614810677 |
j-invariant |
L |
4.7526602790628 |
L(r)(E,1)/r! |
Ω |
0.31521867067369 |
Real period |
R |
7.5386719144925 |
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 |
62192i1 1196a1 |
Quadratic twists by: -4 13 |