Atkin-Lehner |
2+ 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
43344o |
Isogeny class |
Conductor |
43344 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
29132643907584 = 211 · 39 · 75 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -6 -5 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8139,-111526] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:196:1] [-65:378:1] |
Generators of the group modulo torsion |
j |
39937362194/19512927 |
j-invariant |
L |
7.6217230458611 |
L(r)(E,1)/r! |
Ω |
0.52811277928718 |
Real period |
R |
0.18039998615796 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21672j1 14448f1 |
Quadratic twists by: -4 -3 |