Atkin-Lehner |
2- 5- 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
86950w |
Isogeny class |
Conductor |
86950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
32943616000 = 212 · 53 · 372 · 47 |
Discriminant |
Eigenvalues |
2- -1 5- -3 -3 -5 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1553,21231] |
[a1,a2,a3,a4,a6] |
Generators |
[39:128:1] [-35:202:1] |
Generators of the group modulo torsion |
j |
3313946891429/263548928 |
j-invariant |
L |
11.91486845338 |
L(r)(E,1)/r! |
Ω |
1.1407079491333 |
Real period |
R |
0.2176073431442 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86950m1 |
Quadratic twists by: 5 |