Atkin-Lehner |
2- 3- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710cz |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
2.5520020468929E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-300673810,2005244394572] |
[a1,a2,a3,a4,a6] |
j |
1696892787277117093383481/1440538624914939000 |
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 |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610t4 |
Quadratic twists by: -11 |