Atkin-Lehner |
2- 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
43344u |
Isogeny class |
Conductor |
43344 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-5726645430976512 = -1 · 216 · 39 · 74 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17901,3522258] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:1376:1] |
Generators of the group modulo torsion |
j |
7868724669/71031184 |
j-invariant |
L |
7.5540973793209 |
L(r)(E,1)/r! |
Ω |
0.31286068363765 |
Real period |
R |
1.5090777170125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5418b2 43344v2 |
Quadratic twists by: -4 -3 |