Atkin-Lehner |
2- 3- 7- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
81774cg |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
39271881726 = 2 · 36 · 73 · 113 · 59 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11+ 5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-851,-331] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:521:8] |
Generators of the group modulo torsion |
j |
93391282153/53870894 |
j-invariant |
L |
14.070287588361 |
L(r)(E,1)/r! |
Ω |
0.96394538320763 |
Real period |
R |
2.4327601674737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9086c1 |
Quadratic twists by: -3 |