Atkin-Lehner |
2- 3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
17160r |
Isogeny class |
Conductor |
17160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-12764420335180800 = -1 · 210 · 320 · 52 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,56584,-1664484] |
[a1,a2,a3,a4,a6] |
j |
19565773220287004/12465254233575 |
j-invariant |
L |
1.8327366057582 |
L(r)(E,1)/r! |
Ω |
0.22909207571977 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34320q3 51480t3 85800bb3 |
Quadratic twists by: -4 -3 5 |