Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
12936v |
Isogeny class |
Conductor |
12936 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-15975002736 = -1 · 24 · 37 · 73 · 113 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11- -1 8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-166672,-26134919] |
[a1,a2,a3,a4,a6] |
j |
-93303976999933696/2910897 |
j-invariant |
L |
1.4177019130705 |
L(r)(E,1)/r! |
Ω |
0.11814182608921 |
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 |
25872s1 103488dk1 38808x1 12936bb1 |
Quadratic twists by: -4 8 -3 -7 |