Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16698s |
Isogeny class |
Conductor |
16698 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-532467460404 = -1 · 22 · 33 · 118 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 11- 5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2302,54932] |
[a1,a2,a3,a4,a6] |
Generators |
[55:281:1] |
Generators of the group modulo torsion |
j |
-6289657/2484 |
j-invariant |
L |
5.4131131325649 |
L(r)(E,1)/r! |
Ω |
0.86901655759686 |
Real period |
R |
3.1145051755596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
50094cn1 16698bm1 |
Quadratic twists by: -3 -11 |