Atkin-Lehner |
2- 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960cq |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
4.1774384287936E+29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-78996487456,-8545908687589900] |
[a1,a2,a3,a4,a6] |
Generators |
[16131194668:11659659716250:24389] |
Generators of the group modulo torsion |
j |
13310277414362538186413028964389409/101988242890468502400000000 |
j-invariant |
L |
7.8889935334698 |
L(r)(E,1)/r! |
Ω |
0.0090052921978921 |
Real period |
R |
9.1254136062652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002751 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870m4 |
Quadratic twists by: -4 |