Atkin-Lehner |
3- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
92169ba |
Isogeny class |
Conductor |
92169 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-8561090747784267 = -1 · 39 · 78 · 11 · 193 |
Discriminant |
Eigenvalues |
0 3- 0 7- 11- -5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,33810,-3753878] |
[a1,a2,a3,a4,a6] |
j |
49836032000/99819027 |
j-invariant |
L |
0.86117667604621 |
L(r)(E,1)/r! |
Ω |
0.21529418040057 |
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 |
30723c1 13167m1 |
Quadratic twists by: -3 -7 |