Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
115920s |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
1540116018000 = 24 · 314 · 53 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60618,5744167] |
[a1,a2,a3,a4,a6] |
Generators |
[4053:4456:27] |
Generators of the group modulo torsion |
j |
2111937254864896/132040125 |
j-invariant |
L |
4.8304804693604 |
L(r)(E,1)/r! |
Ω |
0.80326267576302 |
Real period |
R |
6.0135751828005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999526382 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57960p1 38640x1 |
Quadratic twists by: -4 -3 |