Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960s |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
-4797991065600 = -1 · 211 · 311 · 52 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -5 -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-360,105300] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:180:1] [18:-324:1] |
Generators of the group modulo torsion |
j |
-4775858/4428675 |
j-invariant |
L |
14.891062997525 |
L(r)(E,1)/r! |
Ω |
0.62218810010682 |
Real period |
R |
0.27197020478778 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999981857 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63480c1 126960o1 |
Quadratic twists by: -4 -23 |