Atkin-Lehner |
3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
1785h |
Isogeny class |
Conductor |
1785 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
258084225 = 36 · 52 · 72 · 172 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 4 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-340,-2428] |
[a1,a2,a3,a4,a6] |
j |
4347507044161/258084225 |
j-invariant |
L |
1.1159165066107 |
L(r)(E,1)/r! |
Ω |
1.1159165066107 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28560dw2 114240ea2 5355g2 8925q2 |
Quadratic twists by: -4 8 -3 5 |