Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200ho |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2.03176787968E+20 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9335500,-10957350000] |
[a1,a2,a3,a4,a6] |
Generators |
[430098464:-50411495772:29791] |
Generators of the group modulo torsion |
j |
175738332394197/396829664 |
j-invariant |
L |
6.5669986455544 |
L(r)(E,1)/r! |
Ω |
0.086382164726231 |
Real period |
R |
12.670436881024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200cl2 30800cq2 123200hb2 |
Quadratic twists by: -4 8 5 |