Atkin-Lehner |
2+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
72200j |
Isogeny class |
Conductor |
72200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3545856 |
Modular degree for the optimal curve |
Δ |
3.0655331289005E+21 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 5 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4344033,2245382563] |
[a1,a2,a3,a4,a6] |
j |
369664/125 |
j-invariant |
L |
1.0473911821463 |
L(r)(E,1)/r! |
Ω |
0.13092389557136 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14440f1 72200y1 |
Quadratic twists by: 5 -19 |