Atkin-Lehner |
2+ 3- 7+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
86814j |
Isogeny class |
Conductor |
86814 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-1369018893003600384 = -1 · 29 · 321 · 7 · 13 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 1 13+ 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21708,-56302128] |
[a1,a2,a3,a4,a6] |
Generators |
[9513099:239873616:12167] |
Generators of the group modulo torsion |
j |
-1551911230602433/1877940868317696 |
j-invariant |
L |
5.8842952237922 |
L(r)(E,1)/r! |
Ω |
0.12217714001404 |
Real period |
R |
6.0202497952969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011075 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28938n1 |
Quadratic twists by: -3 |