Atkin-Lehner |
2- 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16698y |
Isogeny class |
Conductor |
16698 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
15619045505184 = 25 · 32 · 119 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 11- 5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-56570,5151719] |
[a1,a2,a3,a4,a6] |
Generators |
[303:3841:1] |
Generators of the group modulo torsion |
j |
11301253512121/8816544 |
j-invariant |
L |
6.8364076243656 |
L(r)(E,1)/r! |
Ω |
0.69291188663215 |
Real period |
R |
0.24665501329446 |
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 |
50094ba1 1518a1 |
Quadratic twists by: -3 -11 |