Atkin-Lehner |
2- 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
936i |
Isogeny class |
Conductor |
936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
1364688 = 24 · 38 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 4 0 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-354,-2563] |
[a1,a2,a3,a4,a6] |
j |
420616192/117 |
j-invariant |
L |
2.2013342179795 |
L(r)(E,1)/r! |
Ω |
1.1006671089897 |
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 |
1872h1 7488s1 312d1 23400m1 |
Quadratic twists by: -4 8 -3 5 |