Atkin-Lehner |
5- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
74005r |
Isogeny class |
Conductor |
74005 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4169664 |
Modular degree for the optimal curve |
Δ |
8.662463959855E+19 |
Discriminant |
Eigenvalues |
2 2 5- 4 -1 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2649860,1599640801] |
[a1,a2,a3,a4,a6] |
Generators |
[40023396580809225392507853659706673014:59949744309067698648425173846731683604373:1532439230796695495727029996382783672] |
Generators of the group modulo torsion |
j |
335626817536/14128805 |
j-invariant |
L |
22.445470469066 |
L(r)(E,1)/r! |
Ω |
0.18963553259673 |
Real period |
R |
59.180550611255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74005o1 |
Quadratic twists by: -19 |