Atkin-Lehner |
2- 3- 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
16614p |
Isogeny class |
Conductor |
16614 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-17004694824 = -1 · 23 · 311 · 132 · 71 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 5 13+ 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-55013,4980165] |
[a1,a2,a3,a4,a6] |
Generators |
[185:960:1] |
Generators of the group modulo torsion |
j |
-25257174755560201/23326056 |
j-invariant |
L |
7.156596923301 |
L(r)(E,1)/r! |
Ω |
1.0321097031585 |
Real period |
R |
0.2889145771601 |
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 |
5538b1 |
Quadratic twists by: -3 |