Atkin-Lehner |
2- 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408ci |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
705429504 = 218 · 32 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-918529,-338528351] |
[a1,a2,a3,a4,a6] |
Generators |
[40557:1102960:27] |
Generators of the group modulo torsion |
j |
326936102138710273/2691 |
j-invariant |
L |
2.8166306449237 |
L(r)(E,1)/r! |
Ω |
0.15421488599635 |
Real period |
R |
9.1321620046559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000097 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408bd4 14352bk3 |
Quadratic twists by: -4 8 |