Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440cq |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
806633904384000000 = 214 · 312 · 56 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2268363,1314263162] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:37422:1] |
Generators of the group modulo torsion |
j |
432288716775559561/270140062500 |
j-invariant |
L |
5.0197359837826 |
L(r)(E,1)/r! |
Ω |
0.27970106433185 |
Real period |
R |
2.2433486246196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6930ba2 18480cc2 |
Quadratic twists by: -4 -3 |