Atkin-Lehner |
2+ 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8256b |
Isogeny class |
Conductor |
8256 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-162502848 = -1 · 26 · 310 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 1 -3 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-103,769] |
[a1,a2,a3,a4,a6] |
Generators |
[40:243:1] |
Generators of the group modulo torsion |
j |
-1906624000/2539107 |
j-invariant |
L |
3.3788813155475 |
L(r)(E,1)/r! |
Ω |
1.6389995908613 |
Real period |
R |
1.0307755213569 |
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 |
8256q1 4128e1 24768j1 |
Quadratic twists by: -4 8 -3 |