Atkin-Lehner |
2- 3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
17160r |
Isogeny class |
Conductor |
17160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2601299687500800 = 210 · 35 · 52 · 114 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-136416,19282716] |
[a1,a2,a3,a4,a6] |
j |
274171855990660996/2540331726075 |
j-invariant |
L |
1.8327366057582 |
L(r)(E,1)/r! |
Ω |
0.45818415143954 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34320q4 51480t4 85800bb4 |
Quadratic twists by: -4 -3 5 |