Atkin-Lehner |
2+ 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
84960o |
Isogeny class |
Conductor |
84960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
2642595840 = 212 · 37 · 5 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -3 3 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-552,4336] |
[a1,a2,a3,a4,a6] |
Generators |
[20:36:1] |
Generators of the group modulo torsion |
j |
6229504/885 |
j-invariant |
L |
7.45290270293 |
L(r)(E,1)/r! |
Ω |
1.3834227436373 |
Real period |
R |
0.67341153829726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995494 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84960bp1 28320x1 |
Quadratic twists by: -4 -3 |