Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
36784bk |
Isogeny class |
Conductor |
36784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-65165099824 = -1 · 24 · 118 · 19 |
Discriminant |
Eigenvalues |
2- -2 2 0 11- -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,323,-11970] |
[a1,a2,a3,a4,a6] |
j |
131072/2299 |
j-invariant |
L |
0.53734359312027 |
L(r)(E,1)/r! |
Ω |
0.53734359308805 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9196e1 3344f1 |
Quadratic twists by: -4 -11 |