Atkin-Lehner |
2- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
54464p |
Isogeny class |
Conductor |
54464 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-35773369123782656 = -1 · 214 · 23 · 377 |
Discriminant |
Eigenvalues |
2- -1 -3 -2 -4 -2 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-242437,46919261] |
[a1,a2,a3,a4,a6] |
j |
-96183874620408832/2183433174059 |
j-invariant |
L |
0.36624078265455 |
L(r)(E,1)/r! |
Ω |
0.36624078364052 |
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 |
54464j1 13616c1 |
Quadratic twists by: -4 8 |