Atkin-Lehner |
2- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
5978l |
Isogeny class |
Conductor |
5978 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
378254696628928 = 26 · 713 · 61 |
Discriminant |
Eigenvalues |
2- 1 2 7- 1 4 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19552,-483008] |
[a1,a2,a3,a4,a6] |
j |
7026036894577/3215111872 |
j-invariant |
L |
5.0600880382556 |
L(r)(E,1)/r! |
Ω |
0.42167400318797 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47824t1 53802bd1 854d1 |
Quadratic twists by: -4 -3 -7 |