Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
43344j |
Isogeny class |
Conductor |
43344 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
162387515114496 = 210 · 36 · 76 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-353979,81059130] |
[a1,a2,a3,a4,a6] |
Generators |
[195:4410:1] |
Generators of the group modulo torsion |
j |
6570958453382628/217533001 |
j-invariant |
L |
7.8965434971064 |
L(r)(E,1)/r! |
Ω |
0.53653598284049 |
Real period |
R |
1.2264700084822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21672c2 4816b2 |
Quadratic twists by: -4 -3 |