Atkin-Lehner |
2- 3+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
18270bc |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
178022880 = 25 · 33 · 5 · 72 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2573,-49579] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:16:1] |
Generators of the group modulo torsion |
j |
69746281317747/6593440 |
j-invariant |
L |
6.6124978927536 |
L(r)(E,1)/r! |
Ω |
0.67035562677909 |
Real period |
R |
0.98641640773945 |
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 |
18270e2 91350r2 127890ee2 |
Quadratic twists by: -3 5 -7 |