Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28314i |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-804465729633852 = -1 · 22 · 38 · 119 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11+ 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,21213,664065] |
[a1,a2,a3,a4,a6] |
j |
614125/468 |
j-invariant |
L |
1.2881997154868 |
L(r)(E,1)/r! |
Ω |
0.32204992887176 |
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 |
9438x1 28314bl1 |
Quadratic twists by: -3 -11 |