Atkin-Lehner |
2- 3- 5- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
34860j |
Isogeny class |
Conductor |
34860 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-167395901039781120 = -1 · 28 · 318 · 5 · 72 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,137780,137780] |
[a1,a2,a3,a4,a6] |
Generators |
[83:3486:1] |
Generators of the group modulo torsion |
j |
1129897729585235504/653890238436645 |
j-invariant |
L |
6.2647627266159 |
L(r)(E,1)/r! |
Ω |
0.19258724178634 |
Real period |
R |
1.8071933035262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104580k2 |
Quadratic twists by: -3 |