Atkin-Lehner |
7- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39809a |
Isogeny class |
Conductor |
39809 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
243000 |
Modular degree for the optimal curve |
Δ |
-3359977189414769 = -1 · 79 · 116 · 47 |
Discriminant |
Eigenvalues |
1 -1 3 7- 11- 6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,29764,1980037] |
[a1,a2,a3,a4,a6] |
j |
1645957774943/1896619529 |
j-invariant |
L |
2.6783164052303 |
L(r)(E,1)/r! |
Ω |
0.29759071169704 |
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 |
329a1 |
Quadratic twists by: -11 |