Atkin-Lehner |
2+ 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
71744a |
Isogeny class |
Conductor |
71744 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-391187316736 = -1 · 214 · 193 · 592 |
Discriminant |
Eigenvalues |
2+ 0 1 -3 1 6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2672,61088] |
[a1,a2,a3,a4,a6] |
j |
-128769537024/23876179 |
j-invariant |
L |
1.8241385272224 |
L(r)(E,1)/r! |
Ω |
0.91206925654383 |
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 |
71744i1 8968a1 |
Quadratic twists by: -4 8 |