Atkin-Lehner |
2- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
27808h |
Isogeny class |
Conductor |
27808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36096 |
Modular degree for the optimal curve |
Δ |
244358017024 = 212 · 112 · 793 |
Discriminant |
Eigenvalues |
2- 1 -3 -1 11- 1 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12737,-557041] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:8:1] |
Generators of the group modulo torsion |
j |
55795517144128/59657719 |
j-invariant |
L |
4.5578890446695 |
L(r)(E,1)/r! |
Ω |
0.44942559945004 |
Real period |
R |
2.5353968767283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27808c1 55616b1 |
Quadratic twists by: -4 8 |