Atkin-Lehner |
5+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
74005g |
Isogeny class |
Conductor |
74005 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-330754890223475 = -1 · 52 · 199 · 41 |
Discriminant |
Eigenvalues |
0 -1 5+ 2 0 1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-58241,-5460864] |
[a1,a2,a3,a4,a6] |
Generators |
[18084:47981:64] |
Generators of the group modulo torsion |
j |
-464404086784/7030475 |
j-invariant |
L |
4.500947624665 |
L(r)(E,1)/r! |
Ω |
0.15352212714882 |
Real period |
R |
3.6647385203615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999876 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3895b1 |
Quadratic twists by: -19 |