Atkin-Lehner |
2- 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18040g |
Isogeny class |
Conductor |
18040 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
30764401250000 = 24 · 57 · 114 · 412 |
Discriminant |
Eigenvalues |
2- 2 5- -2 11+ 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27695,-1744600] |
[a1,a2,a3,a4,a6] |
Generators |
[265:3075:1] |
Generators of the group modulo torsion |
j |
146832948285454336/1922775078125 |
j-invariant |
L |
7.1814948039086 |
L(r)(E,1)/r! |
Ω |
0.37037528145563 |
Real period |
R |
1.3849842045314 |
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 |
36080g1 90200b1 |
Quadratic twists by: -4 5 |