Atkin-Lehner |
2- 3- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18270bk |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-189423360 = -1 · 28 · 36 · 5 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,142,-143] |
[a1,a2,a3,a4,a6] |
Generators |
[5:23:1] |
Generators of the group modulo torsion |
j |
437245479/259840 |
j-invariant |
L |
6.8228523907592 |
L(r)(E,1)/r! |
Ω |
1.0486276060046 |
Real period |
R |
1.6266147180587 |
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 |
2030a1 91350bp1 127890fr1 |
Quadratic twists by: -3 5 -7 |