Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200cr |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-45001899000000 = -1 · 26 · 38 · 56 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 5 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9383,472863] |
[a1,a2,a3,a4,a6] |
j |
-91368216064/45001899 |
j-invariant |
L |
4.7691158413492 |
L(r)(E,1)/r! |
Ω |
0.59613947696095 |
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 |
91200bb1 45600bc1 3648c1 |
Quadratic twists by: -4 8 5 |