Atkin-Lehner |
2- 3+ 37+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
9546g |
Isogeny class |
Conductor |
9546 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-109292230368 = -1 · 25 · 33 · 37 · 434 |
Discriminant |
Eigenvalues |
2- 3+ -4 -1 5 5 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17655,-910419] |
[a1,a2,a3,a4,a6] |
j |
-608595049368987121/109292230368 |
j-invariant |
L |
2.0708460859323 |
L(r)(E,1)/r! |
Ω |
0.20708460859323 |
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 |
76368k1 28638d1 |
Quadratic twists by: -4 -3 |