Atkin-Lehner |
2+ 3+ 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
79560d |
Isogeny class |
Conductor |
79560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23552 |
Modular degree for the optimal curve |
Δ |
-6205680 = -1 · 24 · 33 · 5 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -3 13- 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-963,11503] |
[a1,a2,a3,a4,a6] |
Generators |
[23:39:1] |
Generators of the group modulo torsion |
j |
-228622424832/14365 |
j-invariant |
L |
5.6826653979753 |
L(r)(E,1)/r! |
Ω |
2.2618835522751 |
Real period |
R |
0.3140449799774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980495 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79560bi1 |
Quadratic twists by: -3 |