Atkin-Lehner |
2+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
97600bo |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1253376 |
Modular degree for the optimal curve |
Δ |
33535104647168000 = 242 · 53 · 61 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 4 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-437313,-111107297] |
[a1,a2,a3,a4,a6] |
Generators |
[-874926:481541:2197] |
Generators of the group modulo torsion |
j |
282261687531173/1023410176 |
j-invariant |
L |
3.8754803767985 |
L(r)(E,1)/r! |
Ω |
0.18569323026041 |
Real period |
R |
10.435168717164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005143 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97600cs1 3050k1 97600bj1 |
Quadratic twists by: -4 8 5 |