Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160cu |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-493807104000000 = -1 · 215 · 39 · 56 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 -2 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30348,-2298672] |
[a1,a2,a3,a4,a6] |
j |
-4792616856/765625 |
j-invariant |
L |
0.71713496827122 |
L(r)(E,1)/r! |
Ω |
0.1792837420678 |
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 |
20160da2 10080e2 20160dg2 100800jw2 |
Quadratic twists by: -4 8 -3 5 |