Atkin-Lehner |
2- 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
117242i |
Isogeny class |
Conductor |
117242 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
3661702144 = 210 · 312 · 612 |
Discriminant |
Eigenvalues |
2- 1 -3 -1 -3 7 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1167,14969] |
[a1,a2,a3,a4,a6] |
Generators |
[34:-139:1] |
Generators of the group modulo torsion |
j |
182909453233/3810304 |
j-invariant |
L |
8.0451417066003 |
L(r)(E,1)/r! |
Ω |
1.4010278866008 |
Real period |
R |
0.28711568835269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999817852 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117242h1 |
Quadratic twists by: -31 |