Atkin-Lehner |
2- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
49088s |
Isogeny class |
Conductor |
49088 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-256616142209024 = -1 · 225 · 133 · 592 |
Discriminant |
Eigenvalues |
2- -1 3 -5 -2 13- 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,13151,-511423] |
[a1,a2,a3,a4,a6] |
Generators |
[64:767:1] |
Generators of the group modulo torsion |
j |
959460498647/978912896 |
j-invariant |
L |
4.5673093211358 |
L(r)(E,1)/r! |
Ω |
0.30040138873585 |
Real period |
R |
1.2670018327591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49088i1 12272h1 |
Quadratic twists by: -4 8 |