Atkin-Lehner |
2- 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
65472ca |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38912 |
Modular degree for the optimal curve |
Δ |
261429696 = 26 · 32 · 114 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-412,-2990] |
[a1,a2,a3,a4,a6] |
j |
121140419392/4084839 |
j-invariant |
L |
2.1233201379616 |
L(r)(E,1)/r! |
Ω |
1.0616600738244 |
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 |
65472ch1 32736l3 |
Quadratic twists by: -4 8 |