Atkin-Lehner |
2+ 3- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
54978q |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
37302658107703296 = 220 · 3 · 78 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 11- -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1087189,436130720] |
[a1,a2,a3,a4,a6] |
j |
24652102605677449/6470762496 |
j-invariant |
L |
1.426282610659 |
L(r)(E,1)/r! |
Ω |
0.35657065294309 |
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 |
54978i1 |
Quadratic twists by: -7 |