Atkin-Lehner |
2- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
81928o |
Isogeny class |
Conductor |
81928 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-9.6728928936361E+22 |
Discriminant |
Eigenvalues |
2- -2 0 7- 11+ -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17753108,32441617984] |
[a1,a2,a3,a4,a6] |
Generators |
[3642:126910:1] |
Generators of the group modulo torsion |
j |
-59899692982750000/9363410280961 |
j-invariant |
L |
3.7319751973056 |
L(r)(E,1)/r! |
Ω |
0.10294239568599 |
Real period |
R |
4.5316304968623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989817 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81928s2 |
Quadratic twists by: -7 |