Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050dy |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
340626124800000000 = 218 · 39 · 58 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 3 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-200180,20047447] |
[a1,a2,a3,a4,a6] |
Generators |
[469:5165:1] |
Generators of the group modulo torsion |
j |
682724835/262144 |
j-invariant |
L |
12.554410896622 |
L(r)(E,1)/r! |
Ω |
0.27688240339427 |
Real period |
R |
0.41983363303693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998344 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050u1 76050m2 76050v2 |
Quadratic twists by: -3 5 13 |