Atkin-Lehner |
2- 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69696dx |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
2355167232 = 216 · 33 · 113 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-396,1936] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:51:1] [-6:64:1] |
Generators of the group modulo torsion |
j |
2916 |
j-invariant |
L |
8.8751683804153 |
L(r)(E,1)/r! |
Ω |
1.3369733944549 |
Real period |
R |
1.6595633872072 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999836 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696c1 17424b1 69696dv1 69696dw1 |
Quadratic twists by: -4 8 -3 -11 |