Atkin-Lehner |
2+ 5+ 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
107920d |
Isogeny class |
Conductor |
107920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
58233632000 = 28 · 53 · 192 · 712 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 0 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1116,8816] |
[a1,a2,a3,a4,a6] |
j |
600987480784/227475125 |
j-invariant |
L |
2.0312645206291 |
L(r)(E,1)/r! |
Ω |
1.0156325562338 |
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 |
53960d2 |
Quadratic twists by: -4 |