Atkin-Lehner |
2+ 3- 7- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19866k |
Isogeny class |
Conductor |
19866 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-1526344512 = -1 · 26 · 3 · 75 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ -5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-540,-5222] |
[a1,a2,a3,a4,a6] |
Generators |
[73:551:1] |
Generators of the group modulo torsion |
j |
-17367942409273/1526344512 |
j-invariant |
L |
5.3590961661417 |
L(r)(E,1)/r! |
Ω |
0.49282777453693 |
Real period |
R |
1.0874176422336 |
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 |
59598bg1 |
Quadratic twists by: -3 |