Atkin-Lehner |
2- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17680i |
Isogeny class |
Conductor |
17680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-8927665926400 = -1 · 28 · 52 · 136 · 172 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 0 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12316,-541284] |
[a1,a2,a3,a4,a6] |
Generators |
[13467:292240:27] |
Generators of the group modulo torsion |
j |
-807101305253584/34873695025 |
j-invariant |
L |
7.5784308681553 |
L(r)(E,1)/r! |
Ω |
0.22602312396447 |
Real period |
R |
5.5882415445145 |
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 |
4420a2 70720bj2 88400be2 |
Quadratic twists by: -4 8 5 |