Atkin-Lehner |
2+ 3- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650q |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
26964562500 = 22 · 33 · 56 · 19 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-751,398] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:86:1] |
Generators of the group modulo torsion |
j |
2992209121/1725732 |
j-invariant |
L |
5.6690859676925 |
L(r)(E,1)/r! |
Ω |
1.0098573077728 |
Real period |
R |
0.93562491819385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003278 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3306g1 |
Quadratic twists by: 5 |