Atkin-Lehner |
2- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
20618k |
Isogeny class |
Conductor |
20618 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
25931217364 = 22 · 134 · 613 |
Discriminant |
Eigenvalues |
2- 1 -3 2 6 13+ -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3637,-84371] |
[a1,a2,a3,a4,a6] |
Generators |
[222:3061:1] |
Generators of the group modulo torsion |
j |
186289196353/907924 |
j-invariant |
L |
8.3180434877086 |
L(r)(E,1)/r! |
Ω |
0.61495098186201 |
Real period |
R |
0.7514640040019 |
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 |
20618d2 |
Quadratic twists by: 13 |