Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050dh |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-11578426335000000 = -1 · 26 · 39 · 57 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-84755,10837747] |
[a1,a2,a3,a4,a6] |
Generators |
[149:1150:1] |
Generators of the group modulo torsion |
j |
-1860867/320 |
j-invariant |
L |
8.3609268188764 |
L(r)(E,1)/r! |
Ω |
0.3875391176596 |
Real period |
R |
0.89893364285489 |
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 |
22050k1 4410c3 450e3 |
Quadratic twists by: -3 5 -7 |