Atkin-Lehner |
2- 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
12144bi |
Isogeny class |
Conductor |
12144 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
51389338074218496 = 219 · 318 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 3 1 11+ 3 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2292664,-1336880812] |
[a1,a2,a3,a4,a6] |
j |
325375754708447065657/12546225115776 |
j-invariant |
L |
4.4169038111542 |
L(r)(E,1)/r! |
Ω |
0.12269177253206 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1518d1 48576cx1 36432ch1 |
Quadratic twists by: -4 8 -3 |