Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050bj |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-2411167500000000 = -1 · 28 · 39 · 510 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 5 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-202617,35234541] |
[a1,a2,a3,a4,a6] |
Generators |
[258:159:1] |
Generators of the group modulo torsion |
j |
-2637114025/6912 |
j-invariant |
L |
4.325654122701 |
L(r)(E,1)/r! |
Ω |
0.46027436684048 |
Real period |
R |
2.3494976226865 |
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 |
7350cn1 22050fl1 22050v1 |
Quadratic twists by: -3 5 -7 |