Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28314bc |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3636648576143154 = 2 · 33 · 119 · 134 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11+ 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-56651,-4288919] |
[a1,a2,a3,a4,a6] |
j |
315821241/57122 |
j-invariant |
L |
2.5064455104135 |
L(r)(E,1)/r! |
Ω |
0.31330568880174 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28314a2 28314b2 |
Quadratic twists by: -3 -11 |