Atkin-Lehner |
2+ 5+ 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
107920c |
Isogeny class |
Conductor |
107920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-59217862400 = -1 · 28 · 52 · 194 · 71 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 -4 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-223,-11778] |
[a1,a2,a3,a4,a6] |
j |
-4790692944/231319775 |
j-invariant |
L |
0.97408306264143 |
L(r)(E,1)/r! |
Ω |
0.48704154853882 |
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 |
53960c2 |
Quadratic twists by: -4 |