Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400dd |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3.01817304448E+19 |
Discriminant |
Eigenvalues |
2- 2 5- -4 11- -5 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1114208,-523833088] |
[a1,a2,a3,a4,a6] |
Generators |
[1258:7986:1] [7936:700272:1] |
Generators of the group modulo torsion |
j |
-53969305/10648 |
j-invariant |
L |
11.530417439616 |
L(r)(E,1)/r! |
Ω |
0.07269926152683 |
Real period |
R |
9.912770430412 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6050bn2 48400cq2 4400bc2 |
Quadratic twists by: -4 5 -11 |