Atkin-Lehner |
2- 5- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
43550y |
Isogeny class |
Conductor |
43550 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
294398000000000 = 210 · 59 · 133 · 67 |
Discriminant |
Eigenvalues |
2- 2 5- 3 0 13+ -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17388,304781] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:757:1] |
Generators of the group modulo torsion |
j |
297676210733/150731776 |
j-invariant |
L |
14.068837759026 |
L(r)(E,1)/r! |
Ω |
0.48324599924718 |
Real period |
R |
1.4556600345318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43550n1 |
Quadratic twists by: 5 |