Atkin-Lehner |
2- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
56180d |
Isogeny class |
Conductor |
56180 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
44328722258000 = 24 · 53 · 536 |
Discriminant |
Eigenvalues |
2- 2 5- 2 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-116105,-15185350] |
[a1,a2,a3,a4,a6] |
Generators |
[80624505:-2867019895:59319] |
Generators of the group modulo torsion |
j |
488095744/125 |
j-invariant |
L |
10.674303222639 |
L(r)(E,1)/r! |
Ω |
0.25863850820144 |
Real period |
R |
9.1713619882709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999449 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20a4 |
Quadratic twists by: 53 |