Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
15456p |
Isogeny class |
Conductor |
15456 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
168495624192 = 212 · 3 · 72 · 234 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1489,10465] |
[a1,a2,a3,a4,a6] |
j |
89194791232/41136627 |
j-invariant |
L |
1.8236617978274 |
L(r)(E,1)/r! |
Ω |
0.91183089891372 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15456c2 30912bc1 46368v3 108192cd3 |
Quadratic twists by: -4 8 -3 -7 |