Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360eb |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3835453440000 = 216 · 3 · 54 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4961,-94335] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:175:1] [-21:12:1] |
Generators of the group modulo torsion |
j |
206081497444/58524375 |
j-invariant |
L |
8.4930588711841 |
L(r)(E,1)/r! |
Ω |
0.58112655592389 |
Real period |
R |
7.3074090184603 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999224 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360ci4 21840t4 |
Quadratic twists by: -4 8 |