Atkin-Lehner |
3- 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
21483i |
Isogeny class |
Conductor |
21483 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
104960 |
Modular degree for the optimal curve |
Δ |
-53032324391739 = -1 · 37 · 7 · 112 · 315 |
Discriminant |
Eigenvalues |
-2 3- 3 7+ 11+ 7 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-15951,-850892] |
[a1,a2,a3,a4,a6] |
j |
-615686922293248/72746672691 |
j-invariant |
L |
1.688072578344 |
L(r)(E,1)/r! |
Ω |
0.211009072293 |
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 |
7161b1 |
Quadratic twists by: -3 |