Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
84960bp |
Isogeny class |
Conductor |
84960 |
Conductor |
∏ cp |
4 |
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 |
[-16:20:1] |
Generators of the group modulo torsion |
j |
6229504/885 |
j-invariant |
L |
7.4847214566829 |
L(r)(E,1)/r! |
Ω |
0.99426781582373 |
Real period |
R |
1.8819681514664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004074 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84960o1 28320c1 |
Quadratic twists by: -4 -3 |