Atkin-Lehner |
2+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
14168b |
Isogeny class |
Conductor |
14168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-82289773764352 = -1 · 28 · 73 · 116 · 232 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ 11+ 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8375,526794] |
[a1,a2,a3,a4,a6] |
j |
-253768781250000/321444428767 |
j-invariant |
L |
1.0988673348449 |
L(r)(E,1)/r! |
Ω |
0.54943366742246 |
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 |
28336i2 113344r2 127512bc2 99176g2 |
Quadratic twists by: -4 8 -3 -7 |