Atkin-Lehner |
2- 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
128960bo |
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 |
[6746150153831735442:120012240854683081763:11644447980709179] |
Generators of the group modulo torsion |
j |
-12821614410609664/26195 |
j-invariant |
L |
7.9721529909722 |
L(r)(E,1)/r! |
Ω |
0.12724761390121 |
Real period |
R |
31.325353562863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128960r1 32240d1 |
Quadratic twists by: -4 8 |