Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5586y |
Isogeny class |
Conductor |
5586 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
395136 |
Modular degree for the optimal curve |
Δ |
-2.0827214029616E+20 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -1 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21455386,-38259954076] |
[a1,a2,a3,a4,a6] |
j |
-3866805342966045361/737311113216 |
j-invariant |
L |
3.9282446754787 |
L(r)(E,1)/r! |
Ω |
0.035073613173917 |
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 |
44688ck1 16758h1 5586t1 106134l1 |
Quadratic twists by: -4 -3 -7 -19 |