Atkin-Lehner |
2- 3+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
93492a |
Isogeny class |
Conductor |
93492 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
326592 |
Modular degree for the optimal curve |
Δ |
-96221354214384 = -1 · 24 · 39 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 6 1 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9261,-583443] |
[a1,a2,a3,a4,a6] |
j |
-48384/53 |
j-invariant |
L |
4.1992410033164 |
L(r)(E,1)/r! |
Ω |
0.23329117691367 |
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 |
93492b1 93492c1 |
Quadratic twists by: -3 -7 |