Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560bb |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
55931212800 = 210 · 310 · 52 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11208,-456568] |
[a1,a2,a3,a4,a6] |
j |
208583809024/74925 |
j-invariant |
L |
1.8560377226355 |
L(r)(E,1)/r! |
Ω |
0.46400951505976 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560ee1 13320g1 35520j1 |
Quadratic twists by: -4 8 -3 |