Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440n |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
424268482176000 = 210 · 316 · 53 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23043,-911342] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:576:1] |
Generators of the group modulo torsion |
j |
1812647208964/568346625 |
j-invariant |
L |
4.4447837841566 |
L(r)(E,1)/r! |
Ω |
0.39703371102318 |
Real period |
R |
2.7987445780435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000113 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27720bj1 18480ba1 |
Quadratic twists by: -4 -3 |