Atkin-Lehner |
2- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
62656v |
Isogeny class |
Conductor |
62656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
44109824 = 212 · 112 · 89 |
Discriminant |
Eigenvalues |
2- -2 -2 -2 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-89,-89] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:8:1] [-5:16:1] |
Generators of the group modulo torsion |
j |
19248832/10769 |
j-invariant |
L |
6.535074801927 |
L(r)(E,1)/r! |
Ω |
1.668246144051 |
Real period |
R |
1.9586662391616 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62656p1 31328b1 |
Quadratic twists by: -4 8 |