Atkin-Lehner |
2- 3- 5- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
44370bs |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2820096 |
Modular degree for the optimal curve |
Δ |
-3.38415986912E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -6 -1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3449758,-1324298059] |
[a1,a2,a3,a4,a6] |
Generators |
[5481:424129:1] |
Generators of the group modulo torsion |
j |
6228194880193817499431/4642194607846377300 |
j-invariant |
L |
8.7944468518096 |
L(r)(E,1)/r! |
Ω |
0.078978258593616 |
Real period |
R |
4.6396982159038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14790h1 |
Quadratic twists by: -3 |