Atkin-Lehner |
2+ 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
81984bi |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
60492386304 = 212 · 34 · 72 · 612 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5129,139191] |
[a1,a2,a3,a4,a6] |
j |
3643732891072/14768649 |
j-invariant |
L |
4.4590949223722 |
L(r)(E,1)/r! |
Ω |
1.114773721921 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81984h2 40992c1 |
Quadratic twists by: -4 8 |