Atkin-Lehner |
2+ 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
43344h |
Isogeny class |
Conductor |
43344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1369574002944 = 28 · 310 · 72 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4791,114550] |
[a1,a2,a3,a4,a6] |
Generators |
[2:324:1] |
Generators of the group modulo torsion |
j |
65168050768/7338681 |
j-invariant |
L |
3.362071913599 |
L(r)(E,1)/r! |
Ω |
0.82808496979016 |
Real period |
R |
2.0300283402395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999946 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21672e2 14448i2 |
Quadratic twists by: -4 -3 |