Atkin-Lehner |
2+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
92950h |
Isogeny class |
Conductor |
92950 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2336256 |
Modular degree for the optimal curve |
Δ |
222359058360524800 = 213 · 52 · 113 · 138 |
Discriminant |
Eigenvalues |
2+ -3 5+ 3 11+ 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-271192,-49329344] |
[a1,a2,a3,a4,a6] |
Generators |
[-2759193225:17905437478:11390625] |
Generators of the group modulo torsion |
j |
108160430625/10903552 |
j-invariant |
L |
3.5163056431491 |
L(r)(E,1)/r! |
Ω |
0.21056825985306 |
Real period |
R |
16.69912478494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999889526 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92950ct1 92950cn1 |
Quadratic twists by: 5 13 |