Atkin-Lehner |
2- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
11600y |
Isogeny class |
Conductor |
11600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
181250000 = 24 · 58 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 2 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-200,875] |
[a1,a2,a3,a4,a6] |
Generators |
[1:26:1] |
Generators of the group modulo torsion |
j |
3538944/725 |
j-invariant |
L |
4.4990469859987 |
L(r)(E,1)/r! |
Ω |
1.7044032353024 |
Real period |
R |
2.6396611393433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2900e1 46400bm1 104400dn1 2320g1 |
Quadratic twists by: -4 8 -3 5 |