Atkin-Lehner |
3+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16275k |
Isogeny class |
Conductor |
16275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
87360 |
Modular degree for the optimal curve |
Δ |
32441923828125 = 37 · 510 · 72 · 31 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- -5 4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-13958,577193] |
[a1,a2,a3,a4,a6] |
Generators |
[-502:8767:8] |
Generators of the group modulo torsion |
j |
30798131200/3322053 |
j-invariant |
L |
8.2299530236328 |
L(r)(E,1)/r! |
Ω |
0.63694127409078 |
Real period |
R |
6.4605273346283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48825bq1 16275x1 113925cb1 |
Quadratic twists by: -3 5 -7 |