Atkin-Lehner |
2+ 3- 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
66576d |
Isogeny class |
Conductor |
66576 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-19200999877632 = -1 · 210 · 33 · 194 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -6 6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8208,-358236] |
[a1,a2,a3,a4,a6] |
j |
-59729476562500/18750976443 |
j-invariant |
L |
2.9619055375995 |
L(r)(E,1)/r! |
Ω |
0.24682546237051 |
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 |
33288c2 |
Quadratic twists by: -4 |