Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7812f |
Isogeny class |
Conductor |
7812 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
294227029660370688 = 28 · 320 · 73 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 4 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-219855,29887846] |
[a1,a2,a3,a4,a6] |
Generators |
[134666:693594:343] |
Generators of the group modulo torsion |
j |
6297457702786000/1576576590687 |
j-invariant |
L |
4.1651496339319 |
L(r)(E,1)/r! |
Ω |
0.28826067856876 |
Real period |
R |
7.2246233073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31248ch2 124992bb2 2604c2 54684r2 |
Quadratic twists by: -4 8 -3 -7 |