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 |
Δ |
70613504 = 29 · 13 · 1032 |
Discriminant |
Eigenvalues |
2+ -2 -2 -4 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-104,-104] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:6:1] [-2:10:1] |
Generators of the group modulo torsion |
j |
245314376/137917 |
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 |
42848h2 85696bo2 |
Quadratic twists by: -4 8 |