Atkin-Lehner |
2+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
94400a |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-197971148800 = -1 · 227 · 52 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5+ -1 -1 5 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-118700,15740720] |
[a1,a2,a3,a4,a6] |
Generators |
[181:431:1] |
Generators of the group modulo torsion |
j |
-28222529675625/30208 |
j-invariant |
L |
6.8271535303899 |
L(r)(E,1)/r! |
Ω |
0.84554762545923 |
Real period |
R |
4.0371194507415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999781 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94400cj1 2950n1 94400bb1 |
Quadratic twists by: -4 8 5 |