Atkin-Lehner |
3- 5+ 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
84075n |
Isogeny class |
Conductor |
84075 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
753364546875 = 36 · 56 · 19 · 592 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 0 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3363,-62658] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:129:1] |
Generators of the group modulo torsion |
j |
269210725993/48215331 |
j-invariant |
L |
5.9456916881737 |
L(r)(E,1)/r! |
Ω |
0.63463915520935 |
Real period |
R |
0.78071815052784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967751 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3363b2 |
Quadratic twists by: 5 |