Atkin-Lehner |
3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
5841j |
Isogeny class |
Conductor |
5841 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32640 |
Modular degree for the optimal curve |
Δ |
-61098923058723 = -1 · 323 · 11 · 59 |
Discriminant |
Eigenvalues |
2 3- -2 -4 11- 7 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,9789,49657] |
[a1,a2,a3,a4,a6] |
Generators |
[143048:2538851:512] |
Generators of the group modulo torsion |
j |
142302054182912/83811965787 |
j-invariant |
L |
6.3709025602534 |
L(r)(E,1)/r! |
Ω |
0.378851450743 |
Real period |
R |
4.2040901174846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93456bk1 1947b1 64251v1 |
Quadratic twists by: -4 -3 -11 |