Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050k |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1130705696777343750 = 2 · 39 · 512 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -6 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-266667,13921991] |
[a1,a2,a3,a4,a6] |
j |
57960603/31250 |
j-invariant |
L |
0.96026044327099 |
L(r)(E,1)/r! |
Ω |
0.24006511081773 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22050dh2 4410z4 450f4 |
Quadratic twists by: -3 5 -7 |