Atkin-Lehner |
5+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
74005h |
Isogeny class |
Conductor |
74005 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9072 |
Modular degree for the optimal curve |
Δ |
-1850125 = -1 · 53 · 192 · 41 |
Discriminant |
Eigenvalues |
1 -2 5+ -2 -1 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,11,-63] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-1:1] |
Generators of the group modulo torsion |
j |
463391/5125 |
j-invariant |
L |
2.3924029851215 |
L(r)(E,1)/r! |
Ω |
1.2987655559935 |
Real period |
R |
1.84205915734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977675 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74005a1 |
Quadratic twists by: -19 |