Atkin-Lehner |
2+ 3- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248r |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
393798306299904 = 216 · 310 · 112 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11+ 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-75329,7875231] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:3168:1] |
Generators of the group modulo torsion |
j |
721333585101892/6008885289 |
j-invariant |
L |
4.8930511187988 |
L(r)(E,1)/r! |
Ω |
0.53639980193546 |
Real period |
R |
0.91220226054405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999791 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
61248by2 7656b2 |
Quadratic twists by: -4 8 |