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 |
deg |
31232 |
Modular degree for the optimal curve |
Δ |
283325120 = 26 · 5 · 134 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-263,-1428] |
[a1,a2,a3,a4,a6] |
Generators |
[24:78:1] |
Generators of the group modulo torsion |
j |
31434820416/4426955 |
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 |
128960f1 64480k3 |
Quadratic twists by: -4 8 |