Atkin-Lehner |
2+ 3- 11- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
36894s |
Isogeny class |
Conductor |
36894 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-2040090624 = -1 · 212 · 34 · 11 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 11- 13- 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1227,-16778] |
[a1,a2,a3,a4,a6] |
j |
-204055591784617/2040090624 |
j-invariant |
L |
3.2250164155567 |
L(r)(E,1)/r! |
Ω |
0.4031270519498 |
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 |
110682bn1 |
Quadratic twists by: -3 |