Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
43344i |
Isogeny class |
Conductor |
43344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
1348171776 = 211 · 37 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -4 -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2523,48746] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-36:1] |
Generators of the group modulo torsion |
j |
1189646642/903 |
j-invariant |
L |
4.790429015836 |
L(r)(E,1)/r! |
Ω |
1.5107434332209 |
Real period |
R |
0.19818177389074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21672l1 14448b1 |
Quadratic twists by: -4 -3 |