Atkin-Lehner |
2+ 3+ 11- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
24882j |
Isogeny class |
Conductor |
24882 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4587520 |
Modular degree for the optimal curve |
Δ |
9270904211712 = 28 · 38 · 114 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-754468121,7976132108901] |
[a1,a2,a3,a4,a6] |
j |
47494836285140078125125156832537/9270904211712 |
j-invariant |
L |
0.79003783147741 |
L(r)(E,1)/r! |
Ω |
0.19750945786937 |
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 |
74646bj1 |
Quadratic twists by: -3 |