Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800x |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
-6.5468681800875E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -4 0 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1713300,3796013500] |
[a1,a2,a3,a4,a6] |
j |
190737654201344/2245153696875 |
j-invariant |
L |
0.78830537472015 |
L(r)(E,1)/r! |
Ω |
0.098538163017729 |
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 |
41400ca1 27600ba1 16560p1 |
Quadratic twists by: -4 -3 5 |