Atkin-Lehner |
2+ 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150bl |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-13802703750000 = -1 · 24 · 310 · 57 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1683,176341] |
[a1,a2,a3,a4,a6] |
Generators |
[-338:1519:8] [14:-457:1] |
Generators of the group modulo torsion |
j |
46268279/1211760 |
j-invariant |
L |
7.1917873691094 |
L(r)(E,1)/r! |
Ω |
0.53004424033042 |
Real period |
R |
1.696034694315 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000183 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28050cn1 16830cc1 |
Quadratic twists by: -3 5 |