Atkin-Lehner |
2+ 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
32560d |
Isogeny class |
Conductor |
32560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
194021360720 = 24 · 5 · 116 · 372 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 11- -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1838,-21697] |
[a1,a2,a3,a4,a6] |
Generators |
[-879:1628:27] |
Generators of the group modulo torsion |
j |
42918076606464/12126335045 |
j-invariant |
L |
4.757240305356 |
L(r)(E,1)/r! |
Ω |
0.74477197944855 |
Real period |
R |
2.1291708230297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16280a1 |
Quadratic twists by: -4 |