Atkin-Lehner |
3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17787p |
Isogeny class |
Conductor |
17787 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-11121626623929129 = -1 · 32 · 78 · 118 |
Discriminant |
Eigenvalues |
1 3- 3 7- 11- -7 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,17663,4994273] |
[a1,a2,a3,a4,a6] |
j |
24167/441 |
j-invariant |
L |
3.6149666554737 |
L(r)(E,1)/r! |
Ω |
0.30124722128948 |
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 |
53361bq1 2541f1 17787v1 |
Quadratic twists by: -3 -7 -11 |