Atkin-Lehner |
2+ 11+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
125488d |
Isogeny class |
Conductor |
125488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24064 |
Modular degree for the optimal curve |
Δ |
88343552 = 210 · 112 · 23 · 31 |
Discriminant |
Eigenvalues |
2+ -2 0 -2 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,996] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:22:1] [-5:44:1] |
Generators of the group modulo torsion |
j |
976562500/86273 |
j-invariant |
L |
7.8877567426366 |
L(r)(E,1)/r! |
Ω |
1.8633527895448 |
Real period |
R |
2.1165494753187 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005765 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62744c1 |
Quadratic twists by: -4 |