Atkin-Lehner |
2+ 3+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
116178c |
Isogeny class |
Conductor |
116178 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
23224320 |
Modular degree for the optimal curve |
Δ |
1.8248387654595E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 -4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-32480860,-29211216944] |
[a1,a2,a3,a4,a6] |
j |
157004739818288043625/75601597056417792 |
j-invariant |
L |
0.53078187494732 |
L(r)(E,1)/r! |
Ω |
0.066347760619525 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6834i1 |
Quadratic twists by: 17 |