Atkin-Lehner |
2- 3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
21312ck |
Isogeny class |
Conductor |
21312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-147161235456 = -1 · 214 · 38 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 4 4 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1284,5200] |
[a1,a2,a3,a4,a6] |
j |
19600688/12321 |
j-invariant |
L |
2.5568083682339 |
L(r)(E,1)/r! |
Ω |
0.63920209205848 |
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 |
21312y2 5328r2 7104ba2 |
Quadratic twists by: -4 8 -3 |