Atkin-Lehner |
2- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28730q |
Isogeny class |
Conductor |
28730 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
7354880 = 29 · 5 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 -3 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-58,121] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:15:1] [1:7:1] |
Generators of the group modulo torsion |
j |
125626761/43520 |
j-invariant |
L |
10.140749091821 |
L(r)(E,1)/r! |
Ω |
2.1606847416497 |
Real period |
R |
0.52147815799868 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28730j1 |
Quadratic twists by: 13 |