Atkin-Lehner |
2+ 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28730j |
Isogeny class |
Conductor |
28730 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
35500600977920 = 29 · 5 · 138 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5- 3 3 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9749,237173] |
[a1,a2,a3,a4,a6] |
j |
125626761/43520 |
j-invariant |
L |
2.39706450035 |
L(r)(E,1)/r! |
Ω |
0.59926612508698 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28730q1 |
Quadratic twists by: 13 |