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 |
Δ |
2116894381214957568 = 215 · 33 · 73 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-506497,-119621183] |
[a1,a2,a3,a4,a6] |
j |
438536015880092936/64602489661101 |
j-invariant |
L |
0.72289011175555 |
L(r)(E,1)/r! |
Ω |
0.1807225279389 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22848cs4 11424s2 68544eb4 |
Quadratic twists by: -4 8 -3 |