Atkin-Lehner |
3- 5- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
96195w |
Isogeny class |
Conductor |
96195 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
583680 |
Modular degree for the optimal curve |
Δ |
372698283833865 = 38 · 5 · 118 · 53 |
Discriminant |
Eigenvalues |
1 3- 5- -4 11- 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-84098,-9347857] |
[a1,a2,a3,a4,a6] |
Generators |
[9723:953458:1] |
Generators of the group modulo torsion |
j |
37129335824881/210378465 |
j-invariant |
L |
8.8723696965433 |
L(r)(E,1)/r! |
Ω |
0.28044773325363 |
Real period |
R |
3.9545558029327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8745k1 |
Quadratic twists by: -11 |