Atkin-Lehner |
2- 3- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
44370bk |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
1792 |
Product of Tamagawa factors cp |
deg |
13762560 |
Modular degree for the optimal curve |
Δ |
1.345065081423E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 -6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-106843307,-386697904261] |
[a1,a2,a3,a4,a6] |
Generators |
[26667:3952426:1] |
Generators of the group modulo torsion |
j |
185028294336699557649743209/18450824162181120000000 |
j-invariant |
L |
10.73882760974 |
L(r)(E,1)/r! |
Ω |
0.047259894871661 |
Real period |
R |
0.50720801237994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790j1 |
Quadratic twists by: -3 |