Atkin-Lehner |
3- 5+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
44175h |
Isogeny class |
Conductor |
44175 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-1.4901116629724E+21 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 -2 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-673276,1869314573] |
[a1,a2,a3,a4,a6] |
Generators |
[2414:328021:8] |
Generators of the group modulo torsion |
j |
-2160141297033678769/95367146430234375 |
j-invariant |
L |
5.7275439607277 |
L(r)(E,1)/r! |
Ω |
0.12543617455911 |
Real period |
R |
3.8050851896403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8835b1 |
Quadratic twists by: 5 |