Atkin-Lehner |
2+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
5618d |
Isogeny class |
Conductor |
5618 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33072 |
Modular degree for the optimal curve |
Δ |
-13199054367208532 = -1 · 22 · 539 |
Discriminant |
Eigenvalues |
2+ -1 2 2 -2 -1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,58931,508577] |
[a1,a2,a3,a4,a6] |
j |
6859/4 |
j-invariant |
L |
0.96248914570723 |
L(r)(E,1)/r! |
Ω |
0.24062228642681 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44944i1 50562bj1 5618i1 |
Quadratic twists by: -4 -3 53 |