Atkin-Lehner |
2- 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
56304s |
Isogeny class |
Conductor |
56304 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
31523033088 = 212 · 39 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 3 0 3 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-864,-4752] |
[a1,a2,a3,a4,a6] |
Generators |
[-1596:2295:64] |
Generators of the group modulo torsion |
j |
884736/391 |
j-invariant |
L |
8.5331717545547 |
L(r)(E,1)/r! |
Ω |
0.9172686038233 |
Real period |
R |
4.6514029364395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998825 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3519a1 56304u1 |
Quadratic twists by: -4 -3 |