Atkin-Lehner |
2+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
9200a |
Isogeny class |
Conductor |
9200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-3593750000 = -1 · 24 · 510 · 23 |
Discriminant |
Eigenvalues |
2+ -1 5+ 0 -2 5 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,2887] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:25:1] |
Generators of the group modulo torsion |
j |
-256/14375 |
j-invariant |
L |
3.5657386591823 |
L(r)(E,1)/r! |
Ω |
1.1196457061345 |
Real period |
R |
1.5923513302672 |
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 |
4600e1 36800ca1 82800bf1 1840d1 |
Quadratic twists by: -4 8 -3 5 |