Atkin-Lehner |
2- 5+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78320u |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
689216000000 = 212 · 56 · 112 · 89 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11+ 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4256,-100556] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:88:1] [-30:32:1] |
Generators of the group modulo torsion |
j |
2081951752609/168265625 |
j-invariant |
L |
6.4855655205629 |
L(r)(E,1)/r! |
Ω |
0.59410543520099 |
Real period |
R |
2.7291306963938 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000243 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4895b1 |
Quadratic twists by: -4 |