Atkin-Lehner |
2- 3- 5+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570bj |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
4521984 |
Modular degree for the optimal curve |
Δ |
9.2296064553567E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2469083,1420597131] |
[a1,a2,a3,a4,a6] |
j |
2283510888519215190121/126606398564563200 |
j-invariant |
L |
3.002867106813 |
L(r)(E,1)/r! |
Ω |
0.18767918203525 |
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 |
38190e1 |
Quadratic twists by: -3 |