Atkin-Lehner |
2- 3+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720bp |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
20542983659520 = 213 · 3 · 5 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-75040,7934080] |
[a1,a2,a3,a4,a6] |
j |
11409011759446561/5015376870 |
j-invariant |
L |
2.6879540838781 |
L(r)(E,1)/r! |
Ω |
0.67198852095514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6090bc3 |
Quadratic twists by: -4 |