Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74480bf |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
-9.29059446875E+19 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -3 5 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,111459,-463487305] |
[a1,a2,a3,a4,a6] |
Generators |
[6218:77273:8] |
Generators of the group modulo torsion |
j |
5084368707584/3084716796875 |
j-invariant |
L |
6.6733137690581 |
L(r)(E,1)/r! |
Ω |
0.088959836700155 |
Real period |
R |
4.6884316115579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18620h1 10640bc1 |
Quadratic twists by: -4 -7 |