Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5200s |
Isogeny class |
Conductor |
5200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-494265241600000000 = -1 · 218 · 58 · 136 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 6 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,44992,33639988] |
[a1,a2,a3,a4,a6] |
j |
157376536199/7722894400 |
j-invariant |
L |
0.89444373547214 |
L(r)(E,1)/r! |
Ω |
0.22361093386804 |
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 |
650j4 20800de4 46800do4 1040g4 |
Quadratic twists by: -4 8 -3 5 |