Atkin-Lehner |
2+ 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330ce |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3538944 |
Modular degree for the optimal curve |
Δ |
9.9919159011815E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11344734,14631518740] |
[a1,a2,a3,a4,a6] |
j |
1882742462388824401/11650189824000 |
j-invariant |
L |
1.8841768746941 |
L(r)(E,1)/r! |
Ω |
0.15701473934574 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110bo1 8190m1 |
Quadratic twists by: -3 -7 |