Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28314a |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
31374163455720228 = 22 · 39 · 119 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 11+ 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-150486,-20753056] |
[a1,a2,a3,a4,a6] |
Generators |
[-1690:10889:8] |
Generators of the group modulo torsion |
j |
8120601/676 |
j-invariant |
L |
5.1514437836483 |
L(r)(E,1)/r! |
Ω |
0.24367943180747 |
Real period |
R |
5.2850621669604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28314bc1 28314bd1 |
Quadratic twists by: -3 -11 |