Atkin-Lehner |
2+ 3- 11+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
36894q |
Isogeny class |
Conductor |
36894 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-6230445228294144 = -1 · 221 · 3 · 116 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 3 -4 11+ 13- 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-253182,-49201808] |
[a1,a2,a3,a4,a6] |
j |
-1794815142832918731097/6230445228294144 |
j-invariant |
L |
1.9151103600674 |
L(r)(E,1)/r! |
Ω |
0.10639502000502 |
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 |
110682cd2 |
Quadratic twists by: -3 |