Atkin-Lehner |
5+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
28475a |
Isogeny class |
Conductor |
28475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-40430428075 = -1 · 52 · 176 · 67 |
Discriminant |
Eigenvalues |
0 0 5+ 2 4 2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,250,-9554] |
[a1,a2,a3,a4,a6] |
Generators |
[20082:547786:27] |
Generators of the group modulo torsion |
j |
69120000000/1617217123 |
j-invariant |
L |
5.0892335873515 |
L(r)(E,1)/r! |
Ω |
0.55606347506855 |
Real period |
R |
4.5761264815354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28475f1 |
Quadratic twists by: 5 |