Atkin-Lehner |
2- 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710cx |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
6.9686669227156E+26 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-292499655,1447147708425] |
[a1,a2,a3,a4,a6] |
Generators |
[617634762:61426540347:29791] |
Generators of the group modulo torsion |
j |
1562225332123379392365961/393363080510106009600 |
j-invariant |
L |
12.357134312948 |
L(r)(E,1)/r! |
Ω |
0.047692208891759 |
Real period |
R |
4.3183623349149 |
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 |
5610r4 |
Quadratic twists by: -11 |