Atkin-Lehner |
2- 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
68244j |
Isogeny class |
Conductor |
68244 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-36364373362944 = -1 · 28 · 312 · 112 · 472 |
Discriminant |
Eigenvalues |
2- 3- 3 4 11- 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3604,-303052] |
[a1,a2,a3,a4,a6] |
j |
-167175727312/1173953169 |
j-invariant |
L |
6.560169804789 |
L(r)(E,1)/r! |
Ω |
0.27334040909313 |
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 |
68244k1 |
Quadratic twists by: -11 |