Atkin-Lehner |
2+ 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
22968b |
Isogeny class |
Conductor |
22968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2051032845312 = 210 · 39 · 112 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11+ 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-484515,129810222] |
[a1,a2,a3,a4,a6] |
j |
624099943831500/101761 |
j-invariant |
L |
2.5962589285683 |
L(r)(E,1)/r! |
Ω |
0.64906473214208 |
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 |
45936i2 22968n2 |
Quadratic twists by: -4 -3 |