Atkin-Lehner |
2+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
30926b |
Isogeny class |
Conductor |
30926 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5053440 |
Modular degree for the optimal curve |
Δ |
1.2326814260552E+24 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ -2 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27493628,-15008057520] |
[a1,a2,a3,a4,a6] |
j |
2053710181431/1101463552 |
j-invariant |
L |
0.63133240225197 |
L(r)(E,1)/r! |
Ω |
0.070148044694952 |
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 |
30926a1 |
Quadratic twists by: -47 |