Atkin-Lehner |
2- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17680j |
Isogeny class |
Conductor |
17680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
470712320000 = 218 · 54 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 0 5- 0 6 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2987,53466] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:320:1] |
Generators of the group modulo torsion |
j |
719564007681/114920000 |
j-invariant |
L |
5.541308730323 |
L(r)(E,1)/r! |
Ω |
0.89438502256642 |
Real period |
R |
0.77445795022685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2210e1 70720be1 88400bo1 |
Quadratic twists by: -4 8 5 |