Atkin-Lehner |
2+ 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
22968j |
Isogeny class |
Conductor |
22968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
47150180352 = 211 · 38 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11- 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11235,-458242] |
[a1,a2,a3,a4,a6] |
j |
105047437250/31581 |
j-invariant |
L |
3.7098308453601 |
L(r)(E,1)/r! |
Ω |
0.46372885567003 |
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 |
45936l2 7656e2 |
Quadratic twists by: -4 -3 |