Atkin-Lehner |
2- 3- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
7998k |
Isogeny class |
Conductor |
7998 |
Conductor |
∏ cp |
75 |
Product of Tamagawa factors cp |
Δ |
-9.6864601502335E+25 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 2 -1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-487383160,-4168487310304] |
[a1,a2,a3,a4,a6] |
Generators |
[241713692:-102326925916:1331] |
Generators of the group modulo torsion |
j |
-12803693534386268989669692474241/96864601502334863518837728 |
j-invariant |
L |
5.6544615094023 |
L(r)(E,1)/r! |
Ω |
0.016058527904879 |
Real period |
R |
4.6948774241293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63984r2 23994p2 |
Quadratic twists by: -4 -3 |