Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120i |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
33454080 = 211 · 33 · 5 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 11- 1 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1947,33066] |
[a1,a2,a3,a4,a6] |
Generators |
[25:4:1] |
Generators of the group modulo torsion |
j |
121995126/5 |
j-invariant |
L |
7.7036670770907 |
L(r)(E,1)/r! |
Ω |
1.9457371615107 |
Real period |
R |
0.4949067138698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997789 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43560bk1 87120a1 87120k1 |
Quadratic twists by: -4 -3 -11 |