Atkin-Lehner |
2- 3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
90048bp |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
77824 |
Modular degree for the optimal curve |
Δ |
4322304 = 210 · 32 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5629,160691] |
[a1,a2,a3,a4,a6] |
Generators |
[394:585:8] |
Generators of the group modulo torsion |
j |
19266137356288/4221 |
j-invariant |
L |
6.9442354499258 |
L(r)(E,1)/r! |
Ω |
1.9510587914432 |
Real period |
R |
3.5592138398215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958469 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90048q1 22512c1 |
Quadratic twists by: -4 8 |