Atkin-Lehner |
2+ 5+ 29- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
99760c |
Isogeny class |
Conductor |
99760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
274539520 = 210 · 5 · 29 · 432 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 4 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-163,-78] |
[a1,a2,a3,a4,a6] |
j |
467720676/268105 |
j-invariant |
L |
2.8994285748715 |
L(r)(E,1)/r! |
Ω |
1.4497142797156 |
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 |
49880d1 |
Quadratic twists by: -4 |