Atkin-Lehner |
2+ 3- 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
83850k |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
270416250000 = 24 · 32 · 57 · 13 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2307552001,-42665546797852] |
[a1,a2,a3,a4,a6] |
Generators |
[56189457956:34197178838623:148877] |
Generators of the group modulo torsion |
j |
86967738309434806772407480321/17306640 |
j-invariant |
L |
6.4207399192742 |
L(r)(E,1)/r! |
Ω |
0.021782698509621 |
Real period |
R |
18.422705746504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999994727 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770z5 |
Quadratic twists by: 5 |