Atkin-Lehner |
2+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20800bo |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
6656000 = 212 · 53 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 0 13+ -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73,183] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:20:1] [-6:21:1] |
Generators of the group modulo torsion |
j |
85184/13 |
j-invariant |
L |
5.5667743669775 |
L(r)(E,1)/r! |
Ω |
2.2719342922353 |
Real period |
R |
1.2251178183282 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20800bl1 10400bj1 20800ca1 |
Quadratic twists by: -4 8 5 |