Atkin-Lehner |
2- 3- 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
16614q |
Isogeny class |
Conductor |
16614 |
Conductor |
∏ cp |
152 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-13758267654144 = -1 · 219 · 37 · 132 · 71 |
Discriminant |
Eigenvalues |
2- 3- -1 3 -3 13+ 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5962,19653] |
[a1,a2,a3,a4,a6] |
Generators |
[233:-3861:1] |
Generators of the group modulo torsion |
j |
32154398375399/18872795136 |
j-invariant |
L |
7.591475202745 |
L(r)(E,1)/r! |
Ω |
0.42818559725876 |
Real period |
R |
0.11664081213211 |
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 |
5538c1 |
Quadratic twists by: -3 |