Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680bg |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-1.653678489906E+28 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,257839413,5978303983834] |
[a1,a2,a3,a4,a6] |
Generators |
[298935:-163696442:1] |
Generators of the group modulo torsion |
j |
263059523447441758/2294739983908125 |
j-invariant |
L |
8.5976402605637 |
L(r)(E,1)/r! |
Ω |
0.028612066497121 |
Real period |
R |
9.3903129726623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999605481 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60840br5 40560o5 9360l6 |
Quadratic twists by: -4 -3 13 |