Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
50336k |
Isogeny class |
Conductor |
50336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
100672 = 26 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 1 0 2 11- 13- 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18,20] |
[a1,a2,a3,a4,a6] |
Generators |
[1:2:1] |
Generators of the group modulo torsion |
j |
88000/13 |
j-invariant |
L |
7.9307100473669 |
L(r)(E,1)/r! |
Ω |
3.2255677958771 |
Real period |
R |
1.2293510087586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50336m1 100672cu1 50336r1 |
Quadratic twists by: -4 8 -11 |