Atkin-Lehner |
2- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
18550q |
Isogeny class |
Conductor |
18550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
389712312500 = 22 · 56 · 76 · 53 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -4 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-28088,1809292] |
[a1,a2,a3,a4,a6] |
Generators |
[52:674:1] |
Generators of the group modulo torsion |
j |
156843708284089/24941588 |
j-invariant |
L |
4.7745194814634 |
L(r)(E,1)/r! |
Ω |
0.91880172241013 |
Real period |
R |
0.86607722591464 |
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 |
742b2 129850cf2 |
Quadratic twists by: 5 -7 |