Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8450r |
Isogeny class |
Conductor |
8450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-16967198996800 = -1 · 26 · 52 · 139 |
Discriminant |
Eigenvalues |
2- 2 5+ 5 3 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1914858,-1020687049] |
[a1,a2,a3,a4,a6] |
j |
-6434774386429585/140608 |
j-invariant |
L |
6.930413850965 |
L(r)(E,1)/r! |
Ω |
0.064170498620046 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67600ch2 76050bx2 8450k2 650b2 |
Quadratic twists by: -4 -3 5 13 |