Atkin-Lehner |
2- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
41236g |
Isogeny class |
Conductor |
41236 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
69264 |
Modular degree for the optimal curve |
Δ |
796153183696 = 24 · 138 · 61 |
Discriminant |
Eigenvalues |
2- -3 -1 2 0 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8788,-314171] |
[a1,a2,a3,a4,a6] |
Generators |
[-3644:2569:64] |
Generators of the group modulo torsion |
j |
5750784/61 |
j-invariant |
L |
3.15527243469 |
L(r)(E,1)/r! |
Ω |
0.49340701256717 |
Real period |
R |
6.3948674305927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41236f1 |
Quadratic twists by: 13 |