Atkin-Lehner |
2- 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440ch |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2239512081841520640 = 218 · 39 · 5 · 72 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-653427,190126386] |
[a1,a2,a3,a4,a6] |
j |
382704614800227/27778076480 |
j-invariant |
L |
3.0522758113391 |
L(r)(E,1)/r! |
Ω |
0.25435631769127 |
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 |
6930e4 55440bt2 |
Quadratic twists by: -4 -3 |