Atkin-Lehner |
3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9633a |
Isogeny class |
Conductor |
9633 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-3576665469 = -1 · 3 · 137 · 19 |
Discriminant |
Eigenvalues |
-1 3+ -1 -3 0 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-426,-4620] |
[a1,a2,a3,a4,a6] |
Generators |
[44:231:1] |
Generators of the group modulo torsion |
j |
-1771561/741 |
j-invariant |
L |
1.725352618046 |
L(r)(E,1)/r! |
Ω |
0.51488424548764 |
Real period |
R |
0.83773810966576 |
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 |
28899d1 741a1 |
Quadratic twists by: -3 13 |