Atkin-Lehner |
3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
46389m |
Isogeny class |
Conductor |
46389 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-256508114667 = -1 · 3 · 77 · 473 |
Discriminant |
Eigenvalues |
0 3- 4 7- 3 -6 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5671,-168077] |
[a1,a2,a3,a4,a6] |
j |
-194305753088/2470629 |
j-invariant |
L |
3.8481111576878 |
L(r)(E,1)/r! |
Ω |
0.27486508271049 |
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 |
46389n1 |
Quadratic twists by: -47 |