Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17360k |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-476358400 = -1 · 28 · 52 · 74 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 0 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,84,-980] |
[a1,a2,a3,a4,a6] |
Generators |
[14:56:1] |
Generators of the group modulo torsion |
j |
253012016/1860775 |
j-invariant |
L |
3.0859865131481 |
L(r)(E,1)/r! |
Ω |
0.82632631997116 |
Real period |
R |
0.93364644165509 |
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 |
8680d2 69440dy2 86800k2 121520r2 |
Quadratic twists by: -4 8 5 -7 |