Atkin-Lehner |
2- 5- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
31720d |
Isogeny class |
Conductor |
31720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1547936000 = 28 · 53 · 13 · 612 |
Discriminant |
Eigenvalues |
2- 0 5- -4 -2 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8687,311634] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:770:1] [-7:610:1] |
Generators of the group modulo torsion |
j |
283199975439696/6046625 |
j-invariant |
L |
7.9109877121535 |
L(r)(E,1)/r! |
Ω |
1.390100818708 |
Real period |
R |
0.94849088230236 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63440c2 |
Quadratic twists by: -4 |