Atkin-Lehner |
2- 3- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29070bg |
Isogeny class |
Conductor |
29070 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
6892535932520760000 = 26 · 322 · 54 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-581198,-114440803] |
[a1,a2,a3,a4,a6] |
j |
29782957153899582361/9454781800440000 |
j-invariant |
L |
4.2537372227269 |
L(r)(E,1)/r! |
Ω |
0.17723905094697 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690l2 |
Quadratic twists by: -3 |