Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16698p |
Isogeny class |
Conductor |
16698 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
4267807372026 = 2 · 32 · 117 · 233 |
Discriminant |
Eigenvalues |
2+ 3- -1 -1 11- -1 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7989,255550] |
[a1,a2,a3,a4,a6] |
Generators |
[32:165:1] |
Generators of the group modulo torsion |
j |
31824875809/2409066 |
j-invariant |
L |
3.6664042647626 |
L(r)(E,1)/r! |
Ω |
0.76149490681063 |
Real period |
R |
1.2036864041936 |
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 |
50094ce1 1518q1 |
Quadratic twists by: -3 -11 |