Atkin-Lehner |
2+ 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28314d |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-61922718 = -1 · 2 · 39 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11- 13+ 8 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,93,-181] |
[a1,a2,a3,a4,a6] |
j |
37125/26 |
j-invariant |
L |
2.2229270972186 |
L(r)(E,1)/r! |
Ω |
1.1114635486098 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28314bf1 28314bg1 |
Quadratic twists by: -3 -11 |