Atkin-Lehner |
2- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
84280t |
Isogeny class |
Conductor |
84280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
694082040400000000 = 210 · 58 · 79 · 43 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -4 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-243187,22891134] |
[a1,a2,a3,a4,a6] |
Generators |
[-245:8232:1] |
Generators of the group modulo torsion |
j |
38491289532/16796875 |
j-invariant |
L |
5.1847478271231 |
L(r)(E,1)/r! |
Ω |
0.25784191980911 |
Real period |
R |
2.5135303022464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963094 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84280p2 |
Quadratic twists by: -7 |