Atkin-Lehner |
3- 37+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
8103d |
Isogeny class |
Conductor |
8103 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
5323671 = 33 · 37 · 732 |
Discriminant |
Eigenvalues |
1 3- 2 -2 0 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5330,-150199] |
[a1,a2,a3,a4,a6] |
j |
16741262449423513/5323671 |
j-invariant |
L |
3.3525770851909 |
L(r)(E,1)/r! |
Ω |
0.55876284753182 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129648l2 24309b2 |
Quadratic twists by: -4 -3 |