Atkin-Lehner |
2- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
10580l |
Isogeny class |
Conductor |
10580 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
99360 |
Modular degree for the optimal curve |
Δ |
-2305475406672640 = -1 · 28 · 5 · 239 |
Discriminant |
Eigenvalues |
2- 2 5- 3 -2 4 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-519125,-143810335] |
[a1,a2,a3,a4,a6] |
j |
-33554432/5 |
j-invariant |
L |
4.4464931241143 |
L(r)(E,1)/r! |
Ω |
0.088929862482286 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42320bc1 95220r1 52900r1 10580e1 |
Quadratic twists by: -4 -3 5 -23 |