Atkin-Lehner |
2- 3- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710cz |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
1728 |
Product of Tamagawa factors cp |
deg |
6635520 |
Modular degree for the optimal curve |
Δ |
-1.0907070126334E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5248070,1958492900] |
[a1,a2,a3,a4,a6] |
j |
9023321954633914439/6156756739584000 |
j-invariant |
L |
8.7117865588039 |
L(r)(E,1)/r! |
Ω |
0.08066469037771 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5610t1 |
Quadratic twists by: -11 |