Atkin-Lehner |
2- 3+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720bp |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-532327971840000 = -1 · 213 · 3 · 54 · 72 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,18080,591232] |
[a1,a2,a3,a4,a6] |
j |
159564039253919/129962883750 |
j-invariant |
L |
2.6879540838781 |
L(r)(E,1)/r! |
Ω |
0.33599426047757 |
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 |
6090bc4 |
Quadratic twists by: -4 |