Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
22050cx |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
-6080063554687500 = -1 · 22 · 33 · 510 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 -3 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,40195,-2120303] |
[a1,a2,a3,a4,a6] |
j |
4725/4 |
j-invariant |
L |
2.8146433796206 |
L(r)(E,1)/r! |
Ω |
0.23455361496839 |
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 |
22050a1 22050l1 22050db1 |
Quadratic twists by: -3 5 -7 |