Atkin-Lehner |
2+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36784c |
Isogeny class |
Conductor |
36784 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
259776 |
Modular degree for the optimal curve |
Δ |
-364349020852754432 = -1 · 211 · 1110 · 193 |
Discriminant |
Eigenvalues |
2+ 0 0 1 11- -3 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,73205,28022874] |
[a1,a2,a3,a4,a6] |
j |
816750/6859 |
j-invariant |
L |
0.44175482343629 |
L(r)(E,1)/r! |
Ω |
0.22087741172471 |
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 |
18392f1 36784g1 |
Quadratic twists by: -4 -11 |