Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050n |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
177918730434144000 = 28 · 39 · 53 · 710 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9024927,10437746381] |
[a1,a2,a3,a4,a6] |
Generators |
[2158:30673:1] |
Generators of the group modulo torsion |
j |
280844088456303/614656 |
j-invariant |
L |
4.0787783521011 |
L(r)(E,1)/r! |
Ω |
0.27642924970188 |
Real period |
R |
1.8444042899313 |
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 |
22050dk2 22050dl2 3150e2 |
Quadratic twists by: -3 5 -7 |