Atkin-Lehner |
2+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
128960q |
Isogeny class |
Conductor |
128960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
-27447121000000 = -1 · 26 · 56 · 134 · 312 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5760,301150] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:620:1] |
Generators of the group modulo torsion |
j |
-330283276738624/428861265625 |
j-invariant |
L |
5.9166098370584 |
L(r)(E,1)/r! |
Ω |
0.6015903933836 |
Real period |
R |
1.6391579322367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999738745 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128960m1 64480j2 |
Quadratic twists by: -4 8 |