Atkin-Lehner |
2+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11600i |
Isogeny class |
Conductor |
11600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
1682000 = 24 · 53 · 292 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 -4 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1403,20702] |
[a1,a2,a3,a4,a6] |
j |
152818608128/841 |
j-invariant |
L |
2.3609819953309 |
L(r)(E,1)/r! |
Ω |
2.3609819953309 |
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 |
5800e1 46400cq1 104400ci1 11600j1 |
Quadratic twists by: -4 8 -3 5 |