Atkin-Lehner |
3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
111909i |
Isogeny class |
Conductor |
111909 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2617235097135160467 = -1 · 3 · 78 · 736 |
Discriminant |
Eigenvalues |
-1 3- 2 7- -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-181297,-83329132] |
[a1,a2,a3,a4,a6] |
Generators |
[2190152:141365081:512] |
Generators of the group modulo torsion |
j |
-4354703137/17294403 |
j-invariant |
L |
7.0109099048556 |
L(r)(E,1)/r! |
Ω |
0.10559812912903 |
Real period |
R |
8.2990460247526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049492 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21a6 |
Quadratic twists by: 73 |