Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28314bx |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-67977354154060494 = -1 · 2 · 38 · 119 · 133 |
Discriminant |
Eigenvalues |
2- 3- 3 -5 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-671936,-212204671] |
[a1,a2,a3,a4,a6] |
j |
-25979045828113/52635726 |
j-invariant |
L |
3.0011479478615 |
L(r)(E,1)/r! |
Ω |
0.083365220773965 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9438l2 2574o2 |
Quadratic twists by: -3 -11 |