Atkin-Lehner |
2+ 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
13160a |
Isogeny class |
Conductor |
13160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-141555276800 = -1 · 210 · 52 · 76 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-523,18678] |
[a1,a2,a3,a4,a6] |
Generators |
[39:240:1] |
Generators of the group modulo torsion |
j |
-15450012036/138237575 |
j-invariant |
L |
3.8653776325683 |
L(r)(E,1)/r! |
Ω |
0.88370047247495 |
Real period |
R |
2.1870406053664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26320d1 105280i1 118440ci1 65800i1 |
Quadratic twists by: -4 8 -3 5 |