Atkin-Lehner |
2- 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12870bo |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
9780693308100 = 22 · 314 · 52 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31613,2166081] |
[a1,a2,a3,a4,a6] |
j |
4792702134385801/13416588900 |
j-invariant |
L |
2.9144396181322 |
L(r)(E,1)/r! |
Ω |
0.72860990453305 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
102960cu2 4290f2 64350br2 |
Quadratic twists by: -4 -3 5 |