Atkin-Lehner |
2+ 3- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
44520j |
Isogeny class |
Conductor |
44520 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
7.36387914906E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-86824136,-311394552336] |
[a1,a2,a3,a4,a6] |
Generators |
[-5369:5040:1] |
Generators of the group modulo torsion |
j |
35343957446866000172627858/3595644115751953125 |
j-invariant |
L |
5.4459365057494 |
L(r)(E,1)/r! |
Ω |
0.049458630628168 |
Real period |
R |
3.6703647988699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89040c2 |
Quadratic twists by: -4 |