Atkin-Lehner |
2- 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
41280cr |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-158515200 = -1 · 214 · 32 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -5 3 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-165,-963] |
[a1,a2,a3,a4,a6] |
j |
-30505984/9675 |
j-invariant |
L |
2.6203719872163 |
L(r)(E,1)/r! |
Ω |
0.65509299681137 |
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 |
41280bp1 10320k1 123840fq1 |
Quadratic twists by: -4 8 -3 |