Atkin-Lehner |
2- 3+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
81168bq |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2368806912 = 213 · 32 · 192 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 -2 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15208,-716816] |
[a1,a2,a3,a4,a6] |
Generators |
[1354:49590:1] |
Generators of the group modulo torsion |
j |
94974853515625/578322 |
j-invariant |
L |
3.909755543486 |
L(r)(E,1)/r! |
Ω |
0.42991174267345 |
Real period |
R |
4.5471606824956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999924042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10146g2 |
Quadratic twists by: -4 |