Atkin-Lehner |
2+ 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680ba |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1.2514484087414E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-180928865,-1080278495775] |
[a1,a2,a3,a4,a6] |
Generators |
[63590517942120:17418831587599645:820025856] |
Generators of the group modulo torsion |
j |
-2498661176703400098047449/477389682289643523750 |
j-invariant |
L |
6.4996530614334 |
L(r)(E,1)/r! |
Ω |
0.020371632488016 |
Real period |
R |
19.940881468965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000186268 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680gi3 3990j4 |
Quadratic twists by: -4 8 |