Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520ed |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
5298628608000 = 214 · 37 · 53 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6627,-175646] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:130:1] |
Generators of the group modulo torsion |
j |
10779215329/1774500 |
j-invariant |
L |
7.4521376763689 |
L(r)(E,1)/r! |
Ω |
0.53504884822133 |
Real period |
R |
1.1606631340786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190o1 21840bv1 |
Quadratic twists by: -4 -3 |