Atkin-Lehner |
3+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
65067n |
Isogeny class |
Conductor |
65067 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1256380589943 = 32 · 237 · 41 |
Discriminant |
Eigenvalues |
-1 3+ 2 4 0 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23944667,45088441994] |
[a1,a2,a3,a4,a6] |
Generators |
[5923611025009480:12275514312078001:2038720832000] |
Generators of the group modulo torsion |
j |
10256120201686185217/8487 |
j-invariant |
L |
4.5907081122353 |
L(r)(E,1)/r! |
Ω |
0.37722346693902 |
Real period |
R |
24.33946196002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000524 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2829e3 |
Quadratic twists by: -23 |