Atkin-Lehner |
2+ 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28314c |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1928084954187897648 = 24 · 39 · 118 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11- 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-405312,-73390960] |
[a1,a2,a3,a4,a6] |
j |
211176358875/55294096 |
j-invariant |
L |
1.543130506407 |
L(r)(E,1)/r! |
Ω |
0.19289131330078 |
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 |
28314be2 2574r2 |
Quadratic twists by: -3 -11 |