Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
36784bl |
Isogeny class |
Conductor |
36784 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
399168 |
Modular degree for the optimal curve |
Δ |
-2135329991032832 = -1 · 219 · 118 · 19 |
Discriminant |
Eigenvalues |
2- -3 0 0 11- -7 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86515,-10043726] |
[a1,a2,a3,a4,a6] |
j |
-81563625/2432 |
j-invariant |
L |
0.27788429114692 |
L(r)(E,1)/r! |
Ω |
0.13894214557412 |
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 |
4598g1 36784x1 |
Quadratic twists by: -4 -11 |