Atkin-Lehner |
2- 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36822v |
Isogeny class |
Conductor |
36822 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
120384 |
Modular degree for the optimal curve |
Δ |
-235595986504752 = -1 · 24 · 3 · 172 · 198 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 0 1 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16433,-1098087] |
[a1,a2,a3,a4,a6] |
Generators |
[2406:35619:8] |
Generators of the group modulo torsion |
j |
-28896625/13872 |
j-invariant |
L |
9.8107623355084 |
L(r)(E,1)/r! |
Ω |
0.20610625118352 |
Real period |
R |
1.9833545156062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110466k1 36822b1 |
Quadratic twists by: -3 -19 |