Atkin-Lehner |
2+ 5+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
17290b |
Isogeny class |
Conductor |
17290 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-15455042367310000 = -1 · 24 · 54 · 7 · 13 · 198 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-60110,-8228284] |
[a1,a2,a3,a4,a6] |
j |
-24019721083973392569/15455042367310000 |
j-invariant |
L |
1.1852656487683 |
L(r)(E,1)/r! |
Ω |
0.14815820609603 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86450bj3 121030r3 |
Quadratic twists by: 5 -7 |