Atkin-Lehner |
2+ 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710bg |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
-1.9405264745608E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,21125992,-55632010282] |
[a1,a2,a3,a4,a6] |
Generators |
[7149:-682385:1] |
Generators of the group modulo torsion |
j |
442222574135797909/822972656250000 |
j-invariant |
L |
7.1175546945497 |
L(r)(E,1)/r! |
Ω |
0.043483010237216 |
Real period |
R |
1.1367074838263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000133 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61710cs2 |
Quadratic twists by: -11 |