Atkin-Lehner |
2- 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
128960z |
Isogeny class |
Conductor |
128960 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
-1611097280 = -1 · 26 · 5 · 132 · 313 |
Discriminant |
Eigenvalues |
2- -3 5+ 2 4 13+ -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-478,4462] |
[a1,a2,a3,a4,a6] |
Generators |
[57:403:1] |
Generators of the group modulo torsion |
j |
-188724128256/25173395 |
j-invariant |
L |
4.5781269529061 |
L(r)(E,1)/r! |
Ω |
1.4540038173377 |
Real period |
R |
0.52477244211648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000324325 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128960x1 64480n1 |
Quadratic twists by: -4 8 |