Atkin-Lehner |
2+ 3- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
52998g |
Isogeny class |
Conductor |
52998 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
4655662308 = 22 · 32 · 116 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1576,23714] |
[a1,a2,a3,a4,a6] |
Generators |
[19:17:1] |
Generators of the group modulo torsion |
j |
244140625/2628 |
j-invariant |
L |
5.5325096182667 |
L(r)(E,1)/r! |
Ω |
1.3795529355054 |
Real period |
R |
2.0051820687367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999455 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
438b1 |
Quadratic twists by: -11 |