Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360gy |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
782745600 = 214 · 3 · 52 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-785,-8625] |
[a1,a2,a3,a4,a6] |
Generators |
[75:600:1] |
Generators of the group modulo torsion |
j |
3269383504/47775 |
j-invariant |
L |
8.3947540247131 |
L(r)(E,1)/r! |
Ω |
0.90265209717509 |
Real period |
R |
2.3250247945255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972162 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360bn2 21840z2 |
Quadratic twists by: -4 8 |