Atkin-Lehner |
3- 7+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
13629c |
Isogeny class |
Conductor |
13629 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
4371097887689841 = 36 · 76 · 114 · 592 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-66702,-5823405] |
[a1,a2,a3,a4,a6] |
j |
32820159491053435873/4371097887689841 |
j-invariant |
L |
1.7981373039276 |
L(r)(E,1)/r! |
Ω |
0.2996895506546 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40887g2 95403d2 |
Quadratic twists by: -3 -7 |