Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
44180b |
Isogeny class |
Conductor |
44180 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
158976 |
Modular degree for the optimal curve |
Δ |
648477594192640 = 28 · 5 · 477 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 1 5 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44916,-3438104] |
[a1,a2,a3,a4,a6] |
Generators |
[-2670:4418:27] |
Generators of the group modulo torsion |
j |
3631696/235 |
j-invariant |
L |
5.1942613950176 |
L(r)(E,1)/r! |
Ω |
0.32927463484674 |
Real period |
R |
1.314571699251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
940d1 |
Quadratic twists by: -47 |