Atkin-Lehner |
2- 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22848bt |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
3371529728448 = 26 · 312 · 73 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-132412,18589522] |
[a1,a2,a3,a4,a6] |
j |
4011705594213827392/52680152007 |
j-invariant |
L |
0.72289011175555 |
L(r)(E,1)/r! |
Ω |
0.72289011175559 |
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 |
22848cs1 11424s3 68544eb1 |
Quadratic twists by: -4 8 -3 |