Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360bw |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-6444773168814489600 = -1 · 219 · 38 · 52 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37441,-122185441] |
[a1,a2,a3,a4,a6] |
j |
-22143063655441/24584858584650 |
j-invariant |
L |
1.7173102122837 |
L(r)(E,1)/r! |
Ω |
0.10733189170662 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360eq5 2730w6 |
Quadratic twists by: -4 8 |