Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
73568s |
Isogeny class |
Conductor |
73568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
2867264392256 = 26 · 119 · 19 |
Discriminant |
Eigenvalues |
2- 0 2 2 11- -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1019909,396451660] |
[a1,a2,a3,a4,a6] |
j |
1034836884153792/25289 |
j-invariant |
L |
1.1684760373723 |
L(r)(E,1)/r! |
Ω |
0.58423801900776 |
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 |
73568d1 6688a1 |
Quadratic twists by: -4 -11 |