Atkin-Lehner |
2- 3- 7+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
81774bq |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3.084246669554E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9642434,11523972273] |
[a1,a2,a3,a4,a6] |
Generators |
[244143:66421279:729] |
Generators of the group modulo torsion |
j |
136005404462724456046297/42307910419121424 |
j-invariant |
L |
12.582067951364 |
L(r)(E,1)/r! |
Ω |
0.20430542421151 |
Real period |
R |
7.6980750728904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003444 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27258b2 |
Quadratic twists by: -3 |