Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360gy |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-54512640 = -1 · 210 · 32 · 5 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5,-357] |
[a1,a2,a3,a4,a6] |
Generators |
[489:2060:27] |
Generators of the group modulo torsion |
j |
-16384/53235 |
j-invariant |
L |
8.3947540247131 |
L(r)(E,1)/r! |
Ω |
0.90265209717509 |
Real period |
R |
4.6500495890509 |
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 |
87360bn1 21840z1 |
Quadratic twists by: -4 8 |