Atkin-Lehner |
2- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72128cc |
Isogeny class |
Conductor |
72128 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
99928628559872 = 215 · 78 · 232 |
Discriminant |
Eigenvalues |
2- 2 -2 7- -2 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12609,260513] |
[a1,a2,a3,a4,a6] |
j |
57512456/25921 |
j-invariant |
L |
2.1480142025173 |
L(r)(E,1)/r! |
Ω |
0.5370035532328 |
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 |
72128bp2 36064f2 10304bb2 |
Quadratic twists by: -4 8 -7 |