Atkin-Lehner |
2+ 7+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
16198a |
Isogeny class |
Conductor |
16198 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
336960 |
Modular degree for the optimal curve |
Δ |
-6.0764383487132E+19 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ -1 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-987956,-532545998] |
[a1,a2,a3,a4,a6] |
Generators |
[20492389382245868:-1013748762127926073:7277698976939] |
Generators of the group modulo torsion |
j |
-106643868215376775389625/60764383487131530752 |
j-invariant |
L |
3.7831686085797 |
L(r)(E,1)/r! |
Ω |
0.073772823776123 |
Real period |
R |
25.640665592932 |
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 |
129584o1 113386m1 |
Quadratic twists by: -4 -7 |