Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
43344j |
Isogeny class |
Conductor |
43344 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-218844399013632 = -1 · 28 · 36 · 73 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21159,1382022] |
[a1,a2,a3,a4,a6] |
Generators |
[54:630:1] |
Generators of the group modulo torsion |
j |
-5613602206032/1172648743 |
j-invariant |
L |
7.8965434971064 |
L(r)(E,1)/r! |
Ω |
0.53653598284049 |
Real period |
R |
2.4529400169645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21672c1 4816b1 |
Quadratic twists by: -4 -3 |