Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960m |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-29376000000 = -1 · 212 · 33 · 56 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-228,-8352] |
[a1,a2,a3,a4,a6] |
j |
-11852352/265625 |
j-invariant |
L |
1.0186939383224 |
L(r)(E,1)/r! |
Ω |
0.50934696856129 |
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 |
48960o2 24480ba1 48960r2 |
Quadratic twists by: -4 8 -3 |