Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680bk |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
8.9893203860521E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6510387,-4480170734] |
[a1,a2,a3,a4,a6] |
Generators |
[-1483:43740:1] |
Generators of the group modulo torsion |
j |
4234737878642/1247410125 |
j-invariant |
L |
7.6652315516972 |
L(r)(E,1)/r! |
Ω |
0.096654092303076 |
Real period |
R |
1.6522044660444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000064442 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60840v2 40560r2 9360i2 |
Quadratic twists by: -4 -3 13 |