Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120bf |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
1975429969920 = 211 · 313 · 5 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11- 5 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47883,-4032358] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:20:1] |
Generators of the group modulo torsion |
j |
67208610722/10935 |
j-invariant |
L |
5.6903787118357 |
L(r)(E,1)/r! |
Ω |
0.32274420767631 |
Real period |
R |
2.2039042770362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999900603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43560bw1 29040s1 87120be1 |
Quadratic twists by: -4 -3 -11 |