Atkin-Lehner |
2- 3+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
14544j |
Isogeny class |
Conductor |
14544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-65142226944 = -1 · 215 · 39 · 101 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 -4 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-243,-12366] |
[a1,a2,a3,a4,a6] |
j |
-19683/808 |
j-invariant |
L |
1.9277521651688 |
L(r)(E,1)/r! |
Ω |
0.4819380412922 |
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 |
1818a1 58176bp1 14544m1 |
Quadratic twists by: -4 8 -3 |