Atkin-Lehner |
2+ 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
82654c |
Isogeny class |
Conductor |
82654 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
124032 |
Modular degree for the optimal curve |
Δ |
-303747168296 = -1 · 23 · 112 · 13 · 176 |
Discriminant |
Eigenvalues |
2+ 1 1 -1 11- 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9688,367150] |
[a1,a2,a3,a4,a6] |
j |
-4165509529/12584 |
j-invariant |
L |
1.9468724625823 |
L(r)(E,1)/r! |
Ω |
0.97343626084897 |
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 |
286c1 |
Quadratic twists by: 17 |