Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30576g |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-3.2164453091422E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- -3 13+ 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1553904,-793408608] |
[a1,a2,a3,a4,a6] |
j |
-5020930768142/389191959 |
j-invariant |
L |
2.153951974518 |
L(r)(E,1)/r! |
Ω |
0.067310999203632 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15288bf1 122304ir1 91728bd1 30576bf1 |
Quadratic twists by: -4 8 -3 -7 |