Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
8700m |
Isogeny class |
Conductor |
8700 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2758900500000000 = -1 · 28 · 38 · 59 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -6 -6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2908,-2528812] |
[a1,a2,a3,a4,a6] |
j |
-680136784/689725125 |
j-invariant |
L |
1.6379989528762 |
L(r)(E,1)/r! |
Ω |
0.20474986910953 |
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 |
34800bx2 26100l2 1740a2 |
Quadratic twists by: -4 -3 5 |