Atkin-Lehner |
2+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
42848f |
Isogeny class |
Conductor |
42848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6016 |
Modular degree for the optimal curve |
Δ |
-1114048 = -1 · 26 · 132 · 103 |
Discriminant |
Eigenvalues |
2+ -2 -2 -4 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,26,0] |
[a1,a2,a3,a4,a6] |
Generators |
[2:8:1] [8:28:1] |
Generators of the group modulo torsion |
j |
29218112/17407 |
j-invariant |
L |
4.9936989489189 |
L(r)(E,1)/r! |
Ω |
1.6072140003937 |
Real period |
R |
3.1070529174681 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42848h1 85696bo1 |
Quadratic twists by: -4 8 |