Atkin-Lehner |
3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1785i |
Isogeny class |
Conductor |
1785 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-552491415 = -1 · 33 · 5 · 72 · 174 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,41,-1123] |
[a1,a2,a3,a4,a6] |
j |
7892485271/552491415 |
j-invariant |
L |
2.3459740913709 |
L(r)(E,1)/r! |
Ω |
0.78199136379032 |
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 |
28560cn1 114240bo1 5355m1 8925i1 |
Quadratic twists by: -4 8 -3 5 |