Atkin-Lehner |
2- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
13904k |
Isogeny class |
Conductor |
13904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
39153664 = 212 · 112 · 79 |
Discriminant |
Eigenvalues |
2- -1 1 5 11- 5 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2200,-38992] |
[a1,a2,a3,a4,a6] |
j |
287626699801/9559 |
j-invariant |
L |
2.7882922556898 |
L(r)(E,1)/r! |
Ω |
0.69707306392244 |
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 |
869a1 55616w1 125136q1 |
Quadratic twists by: -4 8 -3 |