Atkin-Lehner |
2- 3- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248cc |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
125216391168 = 215 · 32 · 114 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11297,-465633] |
[a1,a2,a3,a4,a6] |
j |
4866330558536/3821301 |
j-invariant |
L |
3.7048107507829 |
L(r)(E,1)/r! |
Ω |
0.46310134354586 |
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 |
61248bw4 30624b4 |
Quadratic twists by: -4 8 |