Atkin-Lehner |
2- 3- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
66576bb |
Isogeny class |
Conductor |
66576 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
1.0705638152331E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 0 2 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1719368,852792180] |
[a1,a2,a3,a4,a6] |
Generators |
[862:3456:1] |
Generators of the group modulo torsion |
j |
137236785046262007625/2613681189533952 |
j-invariant |
L |
7.8771200861396 |
L(r)(E,1)/r! |
Ω |
0.22802580458117 |
Real period |
R |
0.9595795163952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998185 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8322a2 |
Quadratic twists by: -4 |