Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
12450y |
Isogeny class |
Conductor |
12450 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
42543984375000 = 23 · 38 · 510 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-89588,10308792] |
[a1,a2,a3,a4,a6] |
Generators |
[82:1834:1] |
Generators of the group modulo torsion |
j |
5089246809796729/2722815000 |
j-invariant |
L |
7.6616590547361 |
L(r)(E,1)/r! |
Ω |
0.63424296914944 |
Real period |
R |
0.50333359528676 |
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 |
99600cd4 37350u4 2490d4 |
Quadratic twists by: -4 -3 5 |