Atkin-Lehner |
2- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66424m |
Isogeny class |
Conductor |
66424 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
864000 |
Modular degree for the optimal curve |
Δ |
-1748992593503985008 = -1 · 24 · 198 · 235 |
Discriminant |
Eigenvalues |
2- -1 0 -2 2 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1995728,-1086374735] |
[a1,a2,a3,a4,a6] |
j |
-1167848192416000/2323519823 |
j-invariant |
L |
1.27005468336 |
L(r)(E,1)/r! |
Ω |
0.063502734187898 |
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 |
3496e1 |
Quadratic twists by: -19 |