Atkin-Lehner |
2+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
44528h |
Isogeny class |
Conductor |
44528 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
256872686910777344 = 211 · 117 · 235 |
Discriminant |
Eigenvalues |
2+ -2 -3 3 11- 5 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-163632,7326196] |
[a1,a2,a3,a4,a6] |
Generators |
[-180:5566:1] |
Generators of the group modulo torsion |
j |
133550346386/70799773 |
j-invariant |
L |
3.4342535906027 |
L(r)(E,1)/r! |
Ω |
0.2726052936685 |
Real period |
R |
0.62989488288817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22264f1 4048b1 |
Quadratic twists by: -4 -11 |