Atkin-Lehner |
2+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11600a |
Isogeny class |
Conductor |
11600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
-464000000 = -1 · 210 · 56 · 29 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 -3 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2008,33988] |
[a1,a2,a3,a4,a6] |
Generators |
[24:14:1] |
Generators of the group modulo torsion |
j |
-55990084/29 |
j-invariant |
L |
5.5283815314646 |
L(r)(E,1)/r! |
Ω |
1.6427786458256 |
Real period |
R |
1.6826312983531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5800a1 46400by1 104400bf1 464b1 |
Quadratic twists by: -4 8 -3 5 |