Atkin-Lehner |
2- 3- 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
44730ca |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
1190 |
Product of Tamagawa factors cp |
deg |
14622720 |
Modular degree for the optimal curve |
Δ |
4.1577259302558E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -1 -7 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-96725687,194506269711] |
[a1,a2,a3,a4,a6] |
Generators |
[-9469:515934:1] |
Generators of the group modulo torsion |
j |
137284544981443275189621289/57033277506938880000000 |
j-invariant |
L |
8.8500288665732 |
L(r)(E,1)/r! |
Ω |
0.058259038524645 |
Real period |
R |
0.12765399560089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910a1 |
Quadratic twists by: -3 |