Atkin-Lehner |
2- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20672w |
Isogeny class |
Conductor |
20672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-480891435483136 = -1 · 220 · 176 · 19 |
Discriminant |
Eigenvalues |
2- 2 -2 0 -4 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19391,175329] |
[a1,a2,a3,a4,a6] |
j |
3075827761007/1834455244 |
j-invariant |
L |
1.2830149018852 |
L(r)(E,1)/r! |
Ω |
0.32075372547131 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20672l2 5168i2 |
Quadratic twists by: -4 8 |