Atkin-Lehner |
7- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
9709c |
Isogeny class |
Conductor |
9709 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-130745112547 = -1 · 72 · 193 · 733 |
Discriminant |
Eigenvalues |
0 -2 0 7- -6 -1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,877,-13950] |
[a1,a2,a3,a4,a6] |
Generators |
[20:109:1] [78:731:1] |
Generators of the group modulo torsion |
j |
74512166912000/130745112547 |
j-invariant |
L |
3.7991104150398 |
L(r)(E,1)/r! |
Ω |
0.54607024542481 |
Real period |
R |
0.38651014497264 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87381g2 67963d2 |
Quadratic twists by: -3 -7 |