Atkin-Lehner |
2- 3+ 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040ca |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
11878244352000 = 216 · 38 · 53 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 13- 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7480,188272] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:640:1] |
Generators of the group modulo torsion |
j |
11301253512121/2899962000 |
j-invariant |
L |
6.2777028506028 |
L(r)(E,1)/r! |
Ω |
0.66892027701922 |
Real period |
R |
1.564138275336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6630n1 |
Quadratic twists by: -4 |