Atkin-Lehner |
2+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9386d |
Isogeny class |
Conductor |
9386 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
109440 |
Modular degree for the optimal curve |
Δ |
-970135088028002 = -1 · 2 · 134 · 198 |
Discriminant |
Eigenvalues |
2+ -3 0 0 3 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-216487,38853127] |
[a1,a2,a3,a4,a6] |
Generators |
[271:45:1] |
Generators of the group modulo torsion |
j |
-66068051625/57122 |
j-invariant |
L |
1.9815466896463 |
L(r)(E,1)/r! |
Ω |
0.49178564592706 |
Real period |
R |
0.67154823314362 |
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 |
75088r1 84474br1 122018z1 9386l1 |
Quadratic twists by: -4 -3 13 -19 |