Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
72828k |
Isogeny class |
Conductor |
72828 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
18499477248 = 28 · 36 · 73 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 6 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6375,195806] |
[a1,a2,a3,a4,a6] |
Generators |
[47:2:1] |
Generators of the group modulo torsion |
j |
531250000/343 |
j-invariant |
L |
6.668654710828 |
L(r)(E,1)/r! |
Ω |
1.2120164185593 |
Real period |
R |
1.8340386064529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001425 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8092b2 72828bb2 |
Quadratic twists by: -3 17 |