Atkin-Lehner |
2- 3+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44286z |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
138 |
Product of Tamagawa factors cp |
deg |
2331648 |
Modular degree for the optimal curve |
Δ |
-3.6733591833698E+21 |
Discriminant |
Eigenvalues |
2- 3+ 2 -1 11- 0 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3830313,-420142227] |
[a1,a2,a3,a4,a6] |
Generators |
[171:15402:1] |
Generators of the group modulo torsion |
j |
28992456697585007/17136491692032 |
j-invariant |
L |
8.9083275089252 |
L(r)(E,1)/r! |
Ω |
0.082093230320735 |
Real period |
R |
0.78633886909432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44286f1 |
Quadratic twists by: -11 |