Atkin-Lehner |
2- 3+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408co |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1014054912 = 214 · 32 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 0 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-369,2385] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:69:1] |
Generators of the group modulo torsion |
j |
340062928/61893 |
j-invariant |
L |
4.8974330622859 |
L(r)(E,1)/r! |
Ω |
1.4841796930277 |
Real period |
R |
1.6498787461726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000472 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408bt2 14352k2 |
Quadratic twists by: -4 8 |