Atkin-Lehner |
3- 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
52887d |
Isogeny class |
Conductor |
52887 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-41225495460291 = -1 · 33 · 177 · 612 |
Discriminant |
Eigenvalues |
2 3- 1 2 -3 3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1830,309773] |
[a1,a2,a3,a4,a6] |
Generators |
[5124:52855:64] |
Generators of the group modulo torsion |
j |
-28094464/1707939 |
j-invariant |
L |
17.126915392891 |
L(r)(E,1)/r! |
Ω |
0.53255415536024 |
Real period |
R |
1.3399979467281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3111a1 |
Quadratic twists by: 17 |