Atkin-Lehner |
2+ 3- 23+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
78384c |
Isogeny class |
Conductor |
78384 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
442371704832 = 211 · 34 · 232 · 712 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 0 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4000,90644] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:414:1] [-28:426:1] |
Generators of the group modulo torsion |
j |
3456864072002/216001809 |
j-invariant |
L |
10.067961404954 |
L(r)(E,1)/r! |
Ω |
0.92387807302218 |
Real period |
R |
1.3621875140858 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000086 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39192h2 |
Quadratic twists by: -4 |