Atkin-Lehner |
2- 3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
45540y |
Isogeny class |
Conductor |
45540 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
15973203272400 = 24 · 315 · 52 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1358292,-609309299] |
[a1,a2,a3,a4,a6] |
j |
23760502964664254464/1369444725 |
j-invariant |
L |
2.5172350808177 |
L(r)(E,1)/r! |
Ω |
0.13984639338704 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15180l1 |
Quadratic twists by: -3 |