Atkin-Lehner |
2- 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
83664ch |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2322320820535296 = 220 · 38 · 72 · 832 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-191379,-32141230] |
[a1,a2,a3,a4,a6] |
Generators |
[13090285:-1007631360:2197] |
Generators of the group modulo torsion |
j |
259608602138257/777740544 |
j-invariant |
L |
8.6236995128719 |
L(r)(E,1)/r! |
Ω |
0.22829909871463 |
Real period |
R |
9.4434226413595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001922 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10458f2 27888x2 |
Quadratic twists by: -4 -3 |