Atkin-Lehner |
2- 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
14400ff |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-38263752000 = -1 · 26 · 314 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1155,17800] |
[a1,a2,a3,a4,a6] |
j |
-29218112/6561 |
j-invariant |
L |
2.2021218635695 |
L(r)(E,1)/r! |
Ω |
1.1010609317848 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14400fi1 7200bz2 4800cr1 14400fh1 |
Quadratic twists by: -4 8 -3 5 |