Atkin-Lehner |
2+ 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
36162be |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
50411267536896 = 211 · 36 · 77 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 6 4 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9270,38772] |
[a1,a2,a3,a4,a6] |
j |
1027243729/587776 |
j-invariant |
L |
2.1694908021205 |
L(r)(E,1)/r! |
Ω |
0.54237270052752 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4018m1 5166h1 |
Quadratic twists by: -3 -7 |