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 |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
111502144 = 26 · 134 · 61 |
Discriminant |
Eigenvalues |
2- 1 -3 2 6 13+ -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-257,1481] |
[a1,a2,a3,a4,a6] |
Generators |
[26:99:1] |
Generators of the group modulo torsion |
j |
65743873/3904 |
j-invariant |
L |
8.3180434877086 |
L(r)(E,1)/r! |
Ω |
1.844852945586 |
Real period |
R |
2.2543920120057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
20618d1 |
Quadratic twists by: 13 |