Atkin-Lehner |
2+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72128g |
Isogeny class |
Conductor |
72128 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1399000799838208 = -1 · 216 · 79 · 232 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 4 0 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,18751,1497665] |
[a1,a2,a3,a4,a6] |
j |
275684/529 |
j-invariant |
L |
1.3238504233333 |
L(r)(E,1)/r! |
Ω |
0.33096261266445 |
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 |
72128ce2 9016d2 72128i2 |
Quadratic twists by: -4 8 -7 |