Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360gg |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2543923200 = -1 · 212 · 3 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,279,-1545] |
[a1,a2,a3,a4,a6] |
Generators |
[122:1365:1] |
Generators of the group modulo torsion |
j |
584277056/621075 |
j-invariant |
L |
8.721251020362 |
L(r)(E,1)/r! |
Ω |
0.78219456456065 |
Real period |
R |
2.7874302057979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999552 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360ee2 43680g1 |
Quadratic twists by: -4 8 |