Atkin-Lehner |
2- 7- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
75166p |
Isogeny class |
Conductor |
75166 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
68698116032 = 26 · 72 · 135 · 59 |
Discriminant |
Eigenvalues |
2- -2 -4 7- 2 13+ -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17130,-864284] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:46:1] |
Generators of the group modulo torsion |
j |
11344916546402929/1402002368 |
j-invariant |
L |
4.4928889300223 |
L(r)(E,1)/r! |
Ω |
0.41731433413288 |
Real period |
R |
1.7943664052787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000816 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75166n1 |
Quadratic twists by: -7 |