Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
22050t |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
840507985800 = 23 · 36 · 52 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -2 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3537,-67019] |
[a1,a2,a3,a4,a6] |
j |
46585/8 |
j-invariant |
L |
1.2526377027975 |
L(r)(E,1)/r! |
Ω |
0.62631885139873 |
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 |
2450t1 22050ey1 22050bc1 |
Quadratic twists by: -3 5 -7 |