Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162bn |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
148 |
Product of Tamagawa factors cp |
deg |
3409920 |
Modular degree for the optimal curve |
Δ |
-4.2977174582963E+22 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 0 1 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31233467,-67914461653] |
[a1,a2,a3,a4,a6] |
Generators |
[22731:3300250:1] |
Generators of the group modulo torsion |
j |
-1060796991033079077987/13529628018737152 |
j-invariant |
L |
9.6764853393049 |
L(r)(E,1)/r! |
Ω |
0.031906915154158 |
Real period |
R |
2.0491375421946 |
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 |
36162g1 5166u1 |
Quadratic twists by: -3 -7 |