Atkin-Lehner |
2+ 3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
12978p |
Isogeny class |
Conductor |
12978 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
3.7152446103374E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -6 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-816617961,8982270814765] |
[a1,a2,a3,a4,a6] |
j |
82613870070426917426690042257/50963574901747509792 |
j-invariant |
L |
0.95319229408811 |
L(r)(E,1)/r! |
Ω |
0.095319229408811 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103824bo2 4326j2 90846bm2 |
Quadratic twists by: -4 -3 -7 |