Atkin-Lehner |
2- 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12432v |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
1.2741434592011E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -4 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23150373,-42865061472] |
[a1,a2,a3,a4,a6] |
j |
85758608686785445101568000/796339662000667533 |
j-invariant |
L |
0.61944507779724 |
L(r)(E,1)/r! |
Ω |
0.06882723086636 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3108g1 49728ed1 37296bk1 87024dj1 |
Quadratic twists by: -4 8 -3 -7 |