Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
64680dc |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5.0122790287959E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3061536,2325237984] |
[a1,a2,a3,a4,a6] |
Generators |
[867:17982:1] |
Generators of the group modulo torsion |
j |
-13171152353214242/2080257264855 |
j-invariant |
L |
6.4037978741921 |
L(r)(E,1)/r! |
Ω |
0.15956450816864 |
Real period |
R |
5.0166214491432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000915 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360u5 9240u6 |
Quadratic twists by: -4 -7 |