Atkin-Lehner |
2- 5- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
39160p |
Isogeny class |
Conductor |
39160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
33358054400 = 210 · 52 · 114 · 89 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11+ -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47507,-3985506] |
[a1,a2,a3,a4,a6] |
Generators |
[963:29040:1] [2034:4875:8] |
Generators of the group modulo torsion |
j |
11579680429147044/32576225 |
j-invariant |
L |
8.9855512862388 |
L(r)(E,1)/r! |
Ω |
0.32337781810104 |
Real period |
R |
13.893270940791 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78320q4 |
Quadratic twists by: -4 |