Atkin-Lehner |
2+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20672n |
Isogeny class |
Conductor |
20672 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
961782870966272 = 221 · 176 · 19 |
Discriminant |
Eigenvalues |
2+ 2 0 2 0 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-58433,-5208511] |
[a1,a2,a3,a4,a6] |
j |
84171637140625/3668910488 |
j-invariant |
L |
3.6947423173067 |
L(r)(E,1)/r! |
Ω |
0.30789519310889 |
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 |
20672bg2 646e2 |
Quadratic twists by: -4 8 |