Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050o |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-1.9923152256E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1549242,-772267084] |
[a1,a2,a3,a4,a6] |
Generators |
[1301521972:299927757926:24389] |
Generators of the group modulo torsion |
j |
-66282611823/3211264 |
j-invariant |
L |
3.485385640704 |
L(r)(E,1)/r! |
Ω |
0.067470559291343 |
Real period |
R |
12.9144684634 |
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 |
22050dl1 22050dk1 3150i1 |
Quadratic twists by: -3 5 -7 |