Atkin-Lehner |
3- 7+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
40887g |
Isogeny class |
Conductor |
40887 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3186530360125894089 = 312 · 76 · 114 · 592 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-600318,157231935] |
[a1,a2,a3,a4,a6] |
j |
32820159491053435873/4371097887689841 |
j-invariant |
L |
0.48549536984988 |
L(r)(E,1)/r! |
Ω |
0.24274768499979 |
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 |
13629c2 |
Quadratic twists by: -3 |