Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050ej |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-128702785325625000 = -1 · 23 · 36 · 57 · 710 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11255,-17263753] |
[a1,a2,a3,a4,a6] |
j |
-49/40 |
j-invariant |
L |
3.5631264208418 |
L(r)(E,1)/r! |
Ω |
0.14846360086841 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2450h1 4410k1 22050du1 |
Quadratic twists by: -3 5 -7 |