Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050fu |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-28241068322880000 = -1 · 29 · 37 · 54 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-154580,-24711753] |
[a1,a2,a3,a4,a6] |
Generators |
[653:12021:1] |
Generators of the group modulo torsion |
j |
-7620530425/526848 |
j-invariant |
L |
7.7052901298991 |
L(r)(E,1)/r! |
Ω |
0.11990960492767 |
Real period |
R |
0.89248829178757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7350s2 22050bv2 3150br2 |
Quadratic twists by: -3 5 -7 |