Atkin-Lehner |
2- 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
128960bp |
Isogeny class |
Conductor |
128960 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
62976 |
Modular degree for the optimal curve |
Δ |
-41912000 = -1 · 26 · 53 · 132 · 31 |
Discriminant |
Eigenvalues |
2- -3 5- -4 0 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22,-314] |
[a1,a2,a3,a4,a6] |
Generators |
[17:65:1] |
Generators of the group modulo torsion |
j |
-18399744/654875 |
j-invariant |
L |
3.8459931895675 |
L(r)(E,1)/r! |
Ω |
0.88697117860775 |
Real period |
R |
0.7226828456348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000149386 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128960bm1 64480b1 |
Quadratic twists by: -4 8 |