Atkin-Lehner |
3- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18759l |
Isogeny class |
Conductor |
18759 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-19753227 = -1 · 35 · 133 · 37 |
Discriminant |
Eigenvalues |
-2 3- 2 2 5 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-82,-386] |
[a1,a2,a3,a4,a6] |
Generators |
[17:58:1] |
Generators of the group modulo torsion |
j |
-28094464/8991 |
j-invariant |
L |
4.1101968801546 |
L(r)(E,1)/r! |
Ω |
0.77973151562906 |
Real period |
R |
0.52712976168965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56277q1 18759m1 |
Quadratic twists by: -3 13 |