Atkin-Lehner |
2- 23- 79- |
Signs for the Atkin-Lehner involutions |
Class |
116288bd |
Isogeny class |
Conductor |
116288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
559104 |
Modular degree for the optimal curve |
Δ |
179490978267136 = 232 · 232 · 79 |
Discriminant |
Eigenvalues |
2- -1 3 5 -6 -1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17089,574817] |
[a1,a2,a3,a4,a6] |
j |
2105518942513/684703744 |
j-invariant |
L |
2.1035801616814 |
L(r)(E,1)/r! |
Ω |
0.52589513414076 |
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 |
116288e1 29072n1 |
Quadratic twists by: -4 8 |