Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
22050w |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-1033551771210000000 = -1 · 27 · 316 · 57 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 1 -1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-138042,-52711884] |
[a1,a2,a3,a4,a6] |
j |
-10637008249/37791360 |
j-invariant |
L |
1.3634895320183 |
L(r)(E,1)/r! |
Ω |
0.11362412766819 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7350ch1 4410bh1 22050bk1 |
Quadratic twists by: -3 5 -7 |