Atkin-Lehner |
2+ 3- 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
44370w |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
1039030757858880 = 26 · 318 · 5 · 172 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-297459,-62350155] |
[a1,a2,a3,a4,a6] |
Generators |
[-109158:26067:343] |
Generators of the group modulo torsion |
j |
3992807253720076849/1425282246720 |
j-invariant |
L |
5.1362974605057 |
L(r)(E,1)/r! |
Ω |
0.20443347529757 |
Real period |
R |
6.281135529567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790t1 |
Quadratic twists by: -3 |