Atkin-Lehner |
2+ 5+ 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
66650g |
Isogeny class |
Conductor |
66650 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
10664000000 = 29 · 56 · 31 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 5 1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5192,145216] |
[a1,a2,a3,a4,a6] |
Generators |
[75:379:1] |
Generators of the group modulo torsion |
j |
990728800209/682496 |
j-invariant |
L |
5.1648743886708 |
L(r)(E,1)/r! |
Ω |
1.2700227421043 |
Real period |
R |
4.0667574026214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001396 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2666d1 |
Quadratic twists by: 5 |