Atkin-Lehner |
2- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17680g |
Isogeny class |
Conductor |
17680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-80021094400 = -1 · 216 · 52 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 4 13+ 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,997,-6198] |
[a1,a2,a3,a4,a6] |
Generators |
[23:170:1] |
Generators of the group modulo torsion |
j |
26757728271/19536400 |
j-invariant |
L |
4.1551853562202 |
L(r)(E,1)/r! |
Ω |
0.60835650170706 |
Real period |
R |
1.7075453885019 |
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 |
2210c2 70720bl2 88400bf2 |
Quadratic twists by: -4 8 5 |