Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81796o |
Isogeny class |
Conductor |
81796 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
460512 |
Modular degree for the optimal curve |
Δ |
-3057437052457216 = -1 · 28 · 114 · 138 |
Discriminant |
Eigenvalues |
2- 2 -3 -2 11- 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-88612,10525176] |
[a1,a2,a3,a4,a6] |
Generators |
[1242:5577:8] |
Generators of the group modulo torsion |
j |
-25168 |
j-invariant |
L |
5.9875262705149 |
L(r)(E,1)/r! |
Ω |
0.44650087991799 |
Real period |
R |
1.4899874254404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81796n1 81796l1 |
Quadratic twists by: -11 13 |