Atkin-Lehner |
2- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
62656p |
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 |
[-8:15:1] |
Generators of the group modulo torsion |
j |
19248832/10769 |
j-invariant |
L |
9.1003768889563 |
L(r)(E,1)/r! |
Ω |
1.7512950343964 |
Real period |
R |
2.5981849747051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996347 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62656v1 31328f1 |
Quadratic twists by: -4 8 |