Atkin-Lehner |
2+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36784f |
Isogeny class |
Conductor |
36784 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-8616872704 = -1 · 28 · 116 · 19 |
Discriminant |
Eigenvalues |
2+ 2 -1 -3 11- 4 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,4589] |
[a1,a2,a3,a4,a6] |
j |
-1024/19 |
j-invariant |
L |
1.0992038984071 |
L(r)(E,1)/r! |
Ω |
1.099203898366 |
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 |
18392i1 304d1 |
Quadratic twists by: -4 -11 |