Atkin-Lehner |
2- 5+ 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
53950u |
Isogeny class |
Conductor |
53950 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-716456000000 = -1 · 29 · 56 · 13 · 832 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 2 13+ -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-963,-42719] |
[a1,a2,a3,a4,a6] |
Generators |
[59:302:1] |
Generators of the group modulo torsion |
j |
-6321363049/45853184 |
j-invariant |
L |
5.7539740812909 |
L(r)(E,1)/r! |
Ω |
0.37953555067 |
Real period |
R |
0.84225371291703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2158a1 |
Quadratic twists by: 5 |