Atkin-Lehner |
2- 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
17040n |
Isogeny class |
Conductor |
17040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
150523453440 = 213 · 36 · 5 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -6 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-622056,-188632080] |
[a1,a2,a3,a4,a6] |
Generators |
[10138:260039:8] |
Generators of the group modulo torsion |
j |
6499095407581304809/36748890 |
j-invariant |
L |
3.0047697263106 |
L(r)(E,1)/r! |
Ω |
0.16999733996169 |
Real period |
R |
8.8376963045062 |
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 |
2130d2 68160dq2 51120bm2 85200df2 |
Quadratic twists by: -4 8 -3 5 |