Atkin-Lehner |
3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
1785h |
Isogeny class |
Conductor |
1785 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-39525924375 = -1 · 312 · 54 · 7 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 4 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,255,-9330] |
[a1,a2,a3,a4,a6] |
j |
1833318007919/39525924375 |
j-invariant |
L |
1.1159165066107 |
L(r)(E,1)/r! |
Ω |
0.55795825330533 |
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 |
28560dw3 114240ea3 5355g4 8925q4 |
Quadratic twists by: -4 8 -3 5 |