Atkin-Lehner |
3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1785c |
Isogeny class |
Conductor |
1785 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
6166198828125 = 33 · 58 · 7 · 174 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4771,-44596] |
[a1,a2,a3,a4,a6] |
j |
12010404962647729/6166198828125 |
j-invariant |
L |
0.60707155472399 |
L(r)(E,1)/r! |
Ω |
0.60707155472399 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28560de3 114240em3 5355p3 8925t4 |
Quadratic twists by: -4 8 -3 5 |