Atkin-Lehner |
2- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
82600p |
Isogeny class |
Conductor |
82600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
-148019200 = -1 · 211 · 52 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 1 -5 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,112,332] |
[a1,a2,a3,a4,a6] |
j |
3007630/2891 |
j-invariant |
L |
2.404398003684 |
L(r)(E,1)/r! |
Ω |
1.2021990289824 |
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 |
82600f1 |
Quadratic twists by: 5 |