Atkin-Lehner |
2+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
85696b |
Isogeny class |
Conductor |
85696 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
117500870656 = 216 · 132 · 1032 |
Discriminant |
Eigenvalues |
2+ 0 2 0 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14284,656880] |
[a1,a2,a3,a4,a6] |
Generators |
[31416:117300:343] |
Generators of the group modulo torsion |
j |
4918054148388/1792921 |
j-invariant |
L |
7.4357796205002 |
L(r)(E,1)/r! |
Ω |
1.0303650076859 |
Real period |
R |
7.2166461075926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978273 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
85696br2 10712b2 |
Quadratic twists by: -4 8 |