Atkin-Lehner |
2- 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
90048by |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
1004959182528 = 26 · 314 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5192,133962] |
[a1,a2,a3,a4,a6] |
j |
241897529922112/15702487227 |
j-invariant |
L |
6.0346631583916 |
L(r)(E,1)/r! |
Ω |
0.86209474543629 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90048bg1 45024k2 |
Quadratic twists by: -4 8 |