Atkin-Lehner |
2- 3+ 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
6726f |
Isogeny class |
Conductor |
6726 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
5244887084895072 = 25 · 310 · 196 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -2 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-44793,1064679] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:2232:1] |
Generators of the group modulo torsion |
j |
9939276414751524625/5244887084895072 |
j-invariant |
L |
5.03215988842 |
L(r)(E,1)/r! |
Ω |
0.37736884680107 |
Real period |
R |
0.88899051614485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53808r2 20178g2 127794v2 |
Quadratic twists by: -4 -3 -19 |