Atkin-Lehner |
2+ 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
128960j |
Isogeny class |
Conductor |
128960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
8253440000 = 215 · 54 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17228,870352] |
[a1,a2,a3,a4,a6] |
Generators |
[112:588:1] |
Generators of the group modulo torsion |
j |
17257519247688/251875 |
j-invariant |
L |
4.1875423843216 |
L(r)(E,1)/r! |
Ω |
1.1966296225447 |
Real period |
R |
3.4994474130661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998741722 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128960f4 64480k4 |
Quadratic twists by: -4 8 |