Atkin-Lehner |
3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48165z |
Isogeny class |
Conductor |
48165 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
105336855 = 38 · 5 · 132 · 19 |
Discriminant |
Eigenvalues |
1 3- 5- -3 0 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-498,4201] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-36:1] |
Generators of the group modulo torsion |
j |
80588082289/623295 |
j-invariant |
L |
7.7221535281649 |
L(r)(E,1)/r! |
Ω |
1.8935491290809 |
Real period |
R |
0.50976717540439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48165r1 |
Quadratic twists by: 13 |