Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
22176i |
Isogeny class |
Conductor |
22176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1810626048 = 29 · 38 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-465699,122322422] |
[a1,a2,a3,a4,a6] |
j |
29925549856274696/4851 |
j-invariant |
L |
3.4264685066916 |
L(r)(E,1)/r! |
Ω |
0.85661712667289 |
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 |
22176k4 44352cd4 7392k2 |
Quadratic twists by: -4 8 -3 |