Atkin-Lehner |
2- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
13616g |
Isogeny class |
Conductor |
13616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3648 |
Modular degree for the optimal curve |
Δ |
5010688 = 28 · 232 · 37 |
Discriminant |
Eigenvalues |
2- 1 0 5 5 -4 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-93,-361] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:2:1] |
Generators of the group modulo torsion |
j |
351232000/19573 |
j-invariant |
L |
6.4068681797845 |
L(r)(E,1)/r! |
Ω |
1.5413334062986 |
Real period |
R |
1.0391762342922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3404a1 54464w1 122544z1 |
Quadratic twists by: -4 8 -3 |