Atkin-Lehner |
2+ 3- 7+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41538f |
Isogeny class |
Conductor |
41538 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-4486104 = -1 · 23 · 34 · 7 · 23 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -1 3 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,20,-94] |
[a1,a2,a3,a4,a6] |
Generators |
[4:5:1] |
Generators of the group modulo torsion |
j |
949862087/4486104 |
j-invariant |
L |
6.1255902950849 |
L(r)(E,1)/r! |
Ω |
1.2351885688793 |
Real period |
R |
1.2398087323308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124614l1 |
Quadratic twists by: -3 |