Atkin-Lehner |
2- 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
67620z |
Isogeny class |
Conductor |
67620 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
31821701520 = 24 · 3 · 5 · 78 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -5 -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-83806,9310265] |
[a1,a2,a3,a4,a6] |
j |
705748443904/345 |
j-invariant |
L |
2.8722739763684 |
L(r)(E,1)/r! |
Ω |
0.95742465406828 |
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 |
67620u1 |
Quadratic twists by: -7 |