Atkin-Lehner |
3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
5733m |
Isogeny class |
Conductor |
5733 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-1.0181274416785E+21 |
Discriminant |
Eigenvalues |
-2 3- 1 7- 2 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1119993,-1465824992] |
[a1,a2,a3,a4,a6] |
j |
1811564780171264/11870974573731 |
j-invariant |
L |
0.93378762565707 |
L(r)(E,1)/r! |
Ω |
0.077815635471423 |
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 |
91728fd1 1911c1 819d1 74529bf1 |
Quadratic twists by: -4 -3 -7 13 |