Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
22050ce |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
265941979882031250 = 2 · 310 · 58 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -6 -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1582368867,24227957283291] |
[a1,a2,a3,a4,a6] |
Generators |
[6907407009:-3423136908:300763] |
Generators of the group modulo torsion |
j |
266916252066900625/162 |
j-invariant |
L |
3.0820800106982 |
L(r)(E,1)/r! |
Ω |
0.13348531408005 |
Real period |
R |
11.544640816629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
7350cu2 22050dy2 22050cw2 |
Quadratic twists by: -3 5 -7 |