Atkin-Lehner |
3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
5733i |
Isogeny class |
Conductor |
5733 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-278792296349931 = -1 · 312 · 79 · 13 |
Discriminant |
Eigenvalues |
0 3- 1 7- 2 13- -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2058,802534] |
[a1,a2,a3,a4,a6] |
j |
32768/9477 |
j-invariant |
L |
1.7025869240527 |
L(r)(E,1)/r! |
Ω |
0.42564673101318 |
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 |
91728fe1 1911a1 5733e1 74529u1 |
Quadratic twists by: -4 -3 -7 13 |