Atkin-Lehner |
2- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11600u |
Isogeny class |
Conductor |
11600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
7250000 = 24 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 6 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-233,-1288] |
[a1,a2,a3,a4,a6] |
j |
5619712/29 |
j-invariant |
L |
4.8876518044898 |
L(r)(E,1)/r! |
Ω |
1.2219129511225 |
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 |
2900c1 46400cf1 104400ez1 464e2 |
Quadratic twists by: -4 8 -3 5 |