Atkin-Lehner |
5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9295c |
Isogeny class |
Conductor |
9295 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
353346552845 = 5 · 114 · 136 |
Discriminant |
Eigenvalues |
-1 0 5+ 0 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4933,-129008] |
[a1,a2,a3,a4,a6] |
j |
2749884201/73205 |
j-invariant |
L |
1.141206742146 |
L(r)(E,1)/r! |
Ω |
0.57060337107302 |
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 |
83655t3 46475f3 102245b3 55a2 |
Quadratic twists by: -3 5 -11 13 |