Atkin-Lehner |
2- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
19936f |
Isogeny class |
Conductor |
19936 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-17862656 = -1 · 212 · 72 · 89 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ 2 -4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,63,49] |
[a1,a2,a3,a4,a6] |
Generators |
[0:7:1] [3:16:1] |
Generators of the group modulo torsion |
j |
6644672/4361 |
j-invariant |
L |
5.2546421991062 |
L(r)(E,1)/r! |
Ω |
1.3672944953879 |
Real period |
R |
0.96077366961383 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19936b1 39872a1 |
Quadratic twists by: -4 8 |