Atkin-Lehner |
2+ 3- 7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128478bj |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
158529352632336 = 24 · 32 · 78 · 192 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13550,-40624] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:745:1] |
Generators of the group modulo torsion |
j |
2338337977417/1347477264 |
j-invariant |
L |
7.0844658197899 |
L(r)(E,1)/r! |
Ω |
0.48202709230113 |
Real period |
R |
3.6743089647231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999348773 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18354e2 |
Quadratic twists by: -7 |