Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110a |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-178105328395312500 = -1 · 22 · 32 · 58 · 78 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -1 13+ -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,53287,-19722807] |
[a1,a2,a3,a4,a6] |
Generators |
[224:1763:1] |
Generators of the group modulo torsion |
j |
2902621910951/30895312500 |
j-invariant |
L |
2.4953918201418 |
L(r)(E,1)/r! |
Ω |
0.15799293065661 |
Real period |
R |
1.9742907244101 |
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 |
57330ep1 95550iz1 19110bi1 |
Quadratic twists by: -3 5 -7 |