Atkin-Lehner |
2+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10816q |
Isogeny class |
Conductor |
10816 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
141167095653376 = 210 · 1310 |
Discriminant |
Eigenvalues |
2+ -3 2 -1 -5 13+ 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-114244,14851720] |
[a1,a2,a3,a4,a6] |
Generators |
[173:515:1] |
Generators of the group modulo torsion |
j |
1168128 |
j-invariant |
L |
2.677046016883 |
L(r)(E,1)/r! |
Ω |
0.57741576124807 |
Real period |
R |
4.6362537993362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10816bi1 676e1 97344cc1 10816r1 |
Quadratic twists by: -4 8 -3 13 |