Atkin-Lehner |
2+ 3+ 5- 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
28470d |
Isogeny class |
Conductor |
28470 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
47104 |
Modular degree for the optimal curve |
Δ |
6395500800 = 28 · 34 · 52 · 132 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 2 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6377,-198651] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:26:1] |
Generators of the group modulo torsion |
j |
28686619310209561/6395500800 |
j-invariant |
L |
3.5982693477971 |
L(r)(E,1)/r! |
Ω |
0.53424737061975 |
Real period |
R |
1.6838030216335 |
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 |
85410u1 |
Quadratic twists by: -3 |