Atkin-Lehner |
2- 3+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408cm |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
12167187888340992 = 228 · 3 · 134 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 0 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1043393,-409841055] |
[a1,a2,a3,a4,a6] |
Generators |
[34023:447488:27] |
Generators of the group modulo torsion |
j |
479212306722528625/46414138368 |
j-invariant |
L |
5.1862591027705 |
L(r)(E,1)/r! |
Ω |
0.14937917765195 |
Real period |
R |
4.339844401592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999861 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408br2 14352y2 |
Quadratic twists by: -4 8 |