Atkin-Lehner |
2- 5+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
67450q |
Isogeny class |
Conductor |
67450 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
1089792 |
Modular degree for the optimal curve |
Δ |
-4526492876800000000 = -1 · 233 · 58 · 19 · 71 |
Discriminant |
Eigenvalues |
2- 2 5+ -1 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-171963,-106049719] |
[a1,a2,a3,a4,a6] |
j |
-35992240580216809/289695544115200 |
j-invariant |
L |
6.8141725774545 |
L(r)(E,1)/r! |
Ω |
0.10324503920612 |
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 |
13490a1 |
Quadratic twists by: 5 |