Atkin-Lehner |
2+ 3+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18810a |
Isogeny class |
Conductor |
18810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
-6038461440 = -1 · 210 · 33 · 5 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-570,6580] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:109:1] |
Generators of the group modulo torsion |
j |
-759299343867/223646720 |
j-invariant |
L |
4.1263899430233 |
L(r)(E,1)/r! |
Ω |
1.2738755028782 |
Real period |
R |
0.80981028634669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18810p1 94050ci1 |
Quadratic twists by: -3 5 |