Atkin-Lehner |
2+ 3+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3264h |
Isogeny class |
Conductor |
3264 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7093827403776 = 220 · 34 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-110977,-14192255] |
[a1,a2,a3,a4,a6] |
j |
576615941610337/27060804 |
j-invariant |
L |
2.0925805934311 |
L(r)(E,1)/r! |
Ω |
0.26157257417888 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3264bc3 102b3 9792k3 81600cn4 |
Quadratic twists by: -4 8 -3 5 |