Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11550cm |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
6272 |
Product of Tamagawa factors cp |
Δ |
-1.4069946218319E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,27983537,-3240648583] |
[a1,a2,a3,a4,a6] |
Generators |
[11762:-1403431:1] |
Generators of the group modulo torsion |
j |
155099895405729262880471/90047655797243760000 |
j-invariant |
L |
8.2719237300288 |
L(r)(E,1)/r! |
Ω |
0.050589936301046 |
Real period |
R |
0.10427887339343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400dn3 34650bc3 2310b4 80850et3 |
Quadratic twists by: -4 -3 5 -7 |