Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520br |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3766818816000000 = 217 · 37 · 56 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48108,-2788432] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:1125:1] |
Generators of the group modulo torsion |
j |
128865945458/39421875 |
j-invariant |
L |
4.1136825575522 |
L(r)(E,1)/r! |
Ω |
0.3300389160205 |
Real period |
R |
1.5580293548257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005819 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520ff2 10440x2 27840x2 |
Quadratic twists by: -4 8 -3 |