Atkin-Lehner |
5+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
74005a |
Isogeny class |
Conductor |
74005 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
172368 |
Modular degree for the optimal curve |
Δ |
-87040760585125 = -1 · 53 · 198 · 41 |
Discriminant |
Eigenvalues |
-1 2 5+ -2 -1 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4144,438694] |
[a1,a2,a3,a4,a6] |
Generators |
[1884:27022:27] |
Generators of the group modulo torsion |
j |
463391/5125 |
j-invariant |
L |
4.3947979546092 |
L(r)(E,1)/r! |
Ω |
0.44592693817259 |
Real period |
R |
3.2851405177657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999993054 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74005h1 |
Quadratic twists by: -19 |