Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440cq |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
244378645733376000 = 216 · 318 · 53 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-168843,12140858] |
[a1,a2,a3,a4,a6] |
Generators |
[581:10496:1] |
Generators of the group modulo torsion |
j |
178272935636041/81841914000 |
j-invariant |
L |
5.0197359837826 |
L(r)(E,1)/r! |
Ω |
0.27970106433185 |
Real period |
R |
4.4866972492391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6930ba1 18480cc1 |
Quadratic twists by: -4 -3 |