Atkin-Lehner |
2+ 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
128960r |
Isogeny class |
Conductor |
128960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
290816 |
Modular degree for the optimal curve |
Δ |
-429178880 = -1 · 214 · 5 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 0 13- 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-123845,16816477] |
[a1,a2,a3,a4,a6] |
Generators |
[212:211:1] |
Generators of the group modulo torsion |
j |
-12821614410609664/26195 |
j-invariant |
L |
7.2650096314237 |
L(r)(E,1)/r! |
Ω |
1.0902340262721 |
Real period |
R |
3.3318578550573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031456 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128960bo1 16120a1 |
Quadratic twists by: -4 8 |