Atkin-Lehner |
2+ 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
17040b |
Isogeny class |
Conductor |
17040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-23004000000 = -1 · 28 · 34 · 56 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4,7296] |
[a1,a2,a3,a4,a6] |
j |
21296/89859375 |
j-invariant |
L |
1.908365789986 |
L(r)(E,1)/r! |
Ω |
0.95418289499302 |
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 |
8520h2 68160dl2 51120g2 85200bb2 |
Quadratic twists by: -4 8 -3 5 |