Atkin-Lehner |
3- 5- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
21105k |
Isogeny class |
Conductor |
21105 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2319806950480845 = -1 · 316 · 5 · 74 · 672 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ -4 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-149342,-22296846] |
[a1,a2,a3,a4,a6] |
j |
-505288421809878169/3182176886805 |
j-invariant |
L |
0.48553532517943 |
L(r)(E,1)/r! |
Ω |
0.12138383129485 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7035a2 105525w2 |
Quadratic twists by: -3 5 |