Atkin-Lehner |
2+ 5- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
32680b |
Isogeny class |
Conductor |
32680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
-2483680000 = -1 · 28 · 54 · 192 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 -3 1 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,95,2403] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:30:1] [-7:38:1] |
Generators of the group modulo torsion |
j |
366500864/9701875 |
j-invariant |
L |
5.760662111293 |
L(r)(E,1)/r! |
Ω |
1.0876101853257 |
Real period |
R |
0.16551949715699 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65360c1 |
Quadratic twists by: -4 |