Atkin-Lehner |
2- 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
96832bd |
Isogeny class |
Conductor |
96832 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
964608 |
Modular degree for the optimal curve |
Δ |
241171316117504 = 212 · 174 · 893 |
Discriminant |
Eigenvalues |
2- 2 -2 4 4 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-940729,351505209] |
[a1,a2,a3,a4,a6] |
j |
22478008065004948672/58879715849 |
j-invariant |
L |
5.7853342822676 |
L(r)(E,1)/r! |
Ω |
0.48211119804762 |
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 |
96832bf1 48416i1 |
Quadratic twists by: -4 8 |