Atkin-Lehner |
3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
39675bj |
Isogeny class |
Conductor |
39675 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
570240 |
Modular degree for the optimal curve |
Δ |
-963371952053701875 = -1 · 39 · 54 · 238 |
Discriminant |
Eigenvalues |
0 3- 5- 1 6 5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,246867,-996406] |
[a1,a2,a3,a4,a6] |
j |
17983078400/10412307 |
j-invariant |
L |
2.985297800693 |
L(r)(E,1)/r! |
Ω |
0.16584987781388 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119025by1 39675a1 1725q1 |
Quadratic twists by: -3 5 -23 |