Atkin-Lehner |
2- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
3550l |
Isogeny class |
Conductor |
3550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-71000000 = -1 · 26 · 56 · 71 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 6 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30,-403] |
[a1,a2,a3,a4,a6] |
Generators |
[19:65:1] |
Generators of the group modulo torsion |
j |
-185193/4544 |
j-invariant |
L |
4.997750597045 |
L(r)(E,1)/r! |
Ω |
0.84306224533373 |
Real period |
R |
0.98801534222554 |
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 |
28400g1 113600s1 31950m1 142c1 |
Quadratic twists by: -4 8 -3 5 |