Atkin-Lehner |
2+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
87362g |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1641600 |
Modular degree for the optimal curve |
Δ |
1323846388676988044 = 22 · 117 · 198 |
Discriminant |
Eigenvalues |
2+ 2 1 3 11- -4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-328517,-46914127] |
[a1,a2,a3,a4,a6] |
j |
130321/44 |
j-invariant |
L |
3.2777085562953 |
L(r)(E,1)/r! |
Ω |
0.20485678523489 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7942m1 87362bq1 |
Quadratic twists by: -11 -19 |