Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
90024bd |
Isogeny class |
Conductor |
90024 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
5.4186009898826E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12735048,-17460739584] |
[a1,a2,a3,a4,a6] |
Generators |
[-682248:732096:343] |
Generators of the group modulo torsion |
j |
125912671148474500/298697167593 |
j-invariant |
L |
9.3203351475627 |
L(r)(E,1)/r! |
Ω |
0.079930276220808 |
Real period |
R |
5.8302908413355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996254 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8184h1 |
Quadratic twists by: -11 |