Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360gc |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
754790400000000 = 218 · 34 · 58 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38561,-2610465] |
[a1,a2,a3,a4,a6] |
j |
24190225473961/2879296875 |
j-invariant |
L |
2.7467392781447 |
L(r)(E,1)/r! |
Ω |
0.34334240901463 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360e4 21840bp4 |
Quadratic twists by: -4 8 |