Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
87840j |
Isogeny class |
Conductor |
87840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-2732175360 = -1 · 212 · 37 · 5 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 0 -6 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-408,-4048] |
[a1,a2,a3,a4,a6] |
j |
-2515456/915 |
j-invariant |
L |
2.0865469424468 |
L(r)(E,1)/r! |
Ω |
0.52163673223635 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87840k1 29280t1 |
Quadratic twists by: -4 -3 |