Atkin-Lehner |
3- 11- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
47619d |
Isogeny class |
Conductor |
47619 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-76267209447 = -1 · 38 · 11 · 134 · 37 |
Discriminant |
Eigenvalues |
-1 3- 0 2 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1445,-24604] |
[a1,a2,a3,a4,a6] |
Generators |
[54:202:1] |
Generators of the group modulo torsion |
j |
-457422927625/104618943 |
j-invariant |
L |
4.1156923675323 |
L(r)(E,1)/r! |
Ω |
0.38254212367685 |
Real period |
R |
2.6896988023094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999666 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15873a1 |
Quadratic twists by: -3 |