Atkin-Lehner |
2- 3+ 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720br |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
45247914455040 = 212 · 38 · 5 · 114 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13080,-471888] |
[a1,a2,a3,a4,a6] |
j |
60425492474521/11046854115 |
j-invariant |
L |
3.6163591547982 |
L(r)(E,1)/r! |
Ω |
0.45204489409828 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3795k3 |
Quadratic twists by: -4 |