Atkin-Lehner |
2+ 3- 37+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
9546d |
Isogeny class |
Conductor |
9546 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4000 |
Modular degree for the optimal curve |
Δ |
-6567648 = -1 · 25 · 3 · 37 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 0 5 3 5 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,44,50] |
[a1,a2,a3,a4,a6] |
j |
9731810375/6567648 |
j-invariant |
L |
2.9872532257871 |
L(r)(E,1)/r! |
Ω |
1.4936266128935 |
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 |
76368f1 28638l1 |
Quadratic twists by: -4 -3 |