Atkin-Lehner |
2- 3+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
34692j |
Isogeny class |
Conductor |
34692 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-305913500928 = -1 · 28 · 310 · 73 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1636,-8280] |
[a1,a2,a3,a4,a6] |
Generators |
[90:855:8] |
Generators of the group modulo torsion |
j |
5511553616/3483891 |
j-invariant |
L |
2.8913966223719 |
L(r)(E,1)/r! |
Ω |
0.55688008576694 |
Real period |
R |
5.1921350687015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104076u2 34692r2 |
Quadratic twists by: -3 -7 |