Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810bw |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
-1.4302072449008E+25 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 0 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-487385116,-4145687052291] |
[a1,a2,a3,a4,a6] |
Generators |
[691167:10232131:27] |
Generators of the group modulo torsion |
j |
-643969879566315506524489/719323136000000000 |
j-invariant |
L |
6.8299502516435 |
L(r)(E,1)/r! |
Ω |
0.016064692138435 |
Real period |
R |
7.0858814582013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003392 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11830u2 82810bf2 |
Quadratic twists by: -7 13 |