Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360cu |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
4328270069760 = 224 · 34 · 5 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5825,136863] |
[a1,a2,a3,a4,a6] |
Generators |
[13:252:1] |
Generators of the group modulo torsion |
j |
83396175409/16511040 |
j-invariant |
L |
8.7544599739284 |
L(r)(E,1)/r! |
Ω |
0.73688359926516 |
Real period |
R |
1.4850479749009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992201 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360fj1 2730s1 |
Quadratic twists by: -4 8 |