Atkin-Lehner |
2- 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408cq |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
46426079232 = 214 · 36 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-357713,-82228335] |
[a1,a2,a3,a4,a6] |
Generators |
[713:4968:1] [929:19656:1] |
Generators of the group modulo torsion |
j |
308964909568786000/2833623 |
j-invariant |
L |
8.6171850499103 |
L(r)(E,1)/r! |
Ω |
0.19521616320214 |
Real period |
R |
11.03544003294 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408bn2 14352bb2 |
Quadratic twists by: -4 8 |