Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
12450v |
Isogeny class |
Conductor |
12450 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-45219235200468750 = -1 · 2 · 320 · 57 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,79912,5398542] |
[a1,a2,a3,a4,a6] |
Generators |
[5318:147515:8] |
Generators of the group modulo torsion |
j |
3611930181361991/2894031052830 |
j-invariant |
L |
8.1232379942509 |
L(r)(E,1)/r! |
Ω |
0.23160670317145 |
Real period |
R |
3.5073414901284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99600bu3 37350p3 2490b4 |
Quadratic twists by: -4 -3 5 |