Atkin-Lehner |
2+ 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
36256a |
Isogeny class |
Conductor |
36256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-477999104 = -1 · 212 · 11 · 1032 |
Discriminant |
Eigenvalues |
2+ 1 -1 2 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,179,571] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:4:1] |
Generators of the group modulo torsion |
j |
153990656/116699 |
j-invariant |
L |
6.8623508630786 |
L(r)(E,1)/r! |
Ω |
1.0628080107466 |
Real period |
R |
1.6142028460668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36256e1 72512x1 |
Quadratic twists by: -4 8 |