Atkin-Lehner |
2+ 5+ 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
95120a |
Isogeny class |
Conductor |
95120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
113097680 = 24 · 5 · 292 · 412 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 4 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-398,-3013] |
[a1,a2,a3,a4,a6] |
Generators |
[187:2542:1] |
Generators of the group modulo torsion |
j |
435765602304/7068605 |
j-invariant |
L |
3.6740899328222 |
L(r)(E,1)/r! |
Ω |
1.0699312676517 |
Real period |
R |
3.4339494889365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008363 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47560d1 |
Quadratic twists by: -4 |