Atkin-Lehner |
11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
10043b |
Isogeny class |
Conductor |
10043 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36000 |
Modular degree for the optimal curve |
Δ |
-134247121019 = -1 · 117 · 832 |
Discriminant |
Eigenvalues |
-2 3 3 4 11- 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-121,-17636] |
[a1,a2,a3,a4,a6] |
j |
-110592/75779 |
j-invariant |
L |
3.7387300841266 |
L(r)(E,1)/r! |
Ω |
0.46734126051583 |
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 |
90387t1 913b1 |
Quadratic twists by: -3 -11 |