Atkin-Lehner |
2- 3- 31- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
74772f |
Isogeny class |
Conductor |
74772 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
372500944128 = 28 · 36 · 313 · 67 |
Discriminant |
Eigenvalues |
2- 3- 4 2 4 3 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-366528,85410020] |
[a1,a2,a3,a4,a6] |
j |
29179489514684416/1995997 |
j-invariant |
L |
6.5051147968308 |
L(r)(E,1)/r! |
Ω |
0.72279053670317 |
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 |
8308c1 |
Quadratic twists by: -3 |