Atkin-Lehner |
2- 3- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31464g |
Isogeny class |
Conductor |
31464 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9408 |
Modular degree for the optimal curve |
Δ |
-96846192 = -1 · 24 · 36 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 6 -3 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,45,459] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:19:1] |
Generators of the group modulo torsion |
j |
864000/8303 |
j-invariant |
L |
5.6800380537592 |
L(r)(E,1)/r! |
Ω |
1.3923900922061 |
Real period |
R |
1.0198359794344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62928j1 3496c1 |
Quadratic twists by: -4 -3 |