Atkin-Lehner |
2+ 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
17080c |
Isogeny class |
Conductor |
17080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4667622400 = 210 · 52 · 72 · 612 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1147,-14586] |
[a1,a2,a3,a4,a6] |
Generators |
[15074:654225:8] |
Generators of the group modulo torsion |
j |
162972380484/4558225 |
j-invariant |
L |
4.9944812048342 |
L(r)(E,1)/r! |
Ω |
0.8217709283101 |
Real period |
R |
6.0777049087206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34160h2 85400y2 119560b2 |
Quadratic twists by: -4 5 -7 |