Atkin-Lehner |
2- 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
28314bl |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-454099932 = -1 · 22 · 38 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,175,-547] |
[a1,a2,a3,a4,a6] |
j |
614125/468 |
j-invariant |
L |
3.7247746253638 |
L(r)(E,1)/r! |
Ω |
0.93119365634094 |
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 |
9438j1 28314i1 |
Quadratic twists by: -3 -11 |