Atkin-Lehner |
2- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
84280p |
Isogeny class |
Conductor |
84280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5899600000000 = 210 · 58 · 73 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4963,-66738] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:168:1] [107:792:1] |
Generators of the group modulo torsion |
j |
38491289532/16796875 |
j-invariant |
L |
9.6591477312462 |
L(r)(E,1)/r! |
Ω |
0.59197239626292 |
Real period |
R |
8.1584443737021 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999886 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84280t2 |
Quadratic twists by: -7 |