Atkin-Lehner |
2- 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710cx |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
-1.4608350945109E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,44519225,144030507017] |
[a1,a2,a3,a4,a6] |
Generators |
[55994122:14393685115:29791] |
Generators of the group modulo torsion |
j |
5508208700580085578359/8246033269590589440 |
j-invariant |
L |
12.357134312948 |
L(r)(E,1)/r! |
Ω |
0.047692208891759 |
Real period |
R |
8.6367246698297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610r3 |
Quadratic twists by: -11 |