Atkin-Lehner |
7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13013i |
Isogeny class |
Conductor |
13013 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
817362998172721 = 72 · 112 · 1310 |
Discriminant |
Eigenvalues |
1 0 2 7- 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-104896,-12977613] |
[a1,a2,a3,a4,a6] |
j |
26444947540257/169338169 |
j-invariant |
L |
2.3884693737984 |
L(r)(E,1)/r! |
Ω |
0.26538548597761 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117117bt2 91091b2 1001b2 |
Quadratic twists by: -3 -7 13 |