Atkin-Lehner |
2+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
94400s |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-966656000000 = -1 · 220 · 56 · 59 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 2 -2 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,767,46337] |
[a1,a2,a3,a4,a6] |
j |
12167/236 |
j-invariant |
L |
1.3150196072317 |
L(r)(E,1)/r! |
Ω |
0.6575098182136 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94400br1 2950l1 3776g1 |
Quadratic twists by: -4 8 5 |