Atkin-Lehner |
2- 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
32830j |
Isogeny class |
Conductor |
32830 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
739376905400 = 23 · 52 · 77 · 672 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14293,659957] |
[a1,a2,a3,a4,a6] |
Generators |
[65:16:1] |
Generators of the group modulo torsion |
j |
2744588042001/6284600 |
j-invariant |
L |
7.2154892567533 |
L(r)(E,1)/r! |
Ω |
0.90251424402797 |
Real period |
R |
0.66623964704703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4690e2 |
Quadratic twists by: -7 |