Atkin-Lehner |
2+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
27808c |
Isogeny class |
Conductor |
27808 |
Conductor |
∏ cp |
24 |
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 |
[245:3476:1] [77:164:1] |
Generators of the group modulo torsion |
j |
55795517144128/59657719 |
j-invariant |
L |
5.9508292608794 |
L(r)(E,1)/r! |
Ω |
0.98335573240153 |
Real period |
R |
0.25214803863279 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27808h1 55616o1 |
Quadratic twists by: -4 8 |