Atkin-Lehner |
2- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28730y |
Isogeny class |
Conductor |
28730 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
733824 |
Modular degree for the optimal curve |
Δ |
8667138910625000 = 23 · 57 · 138 · 17 |
Discriminant |
Eigenvalues |
2- 0 5- -3 -3 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13043452,18134893079] |
[a1,a2,a3,a4,a6] |
Generators |
[2087:-919:1] |
Generators of the group modulo torsion |
j |
300853103177579121/10625000 |
j-invariant |
L |
7.1799920748062 |
L(r)(E,1)/r! |
Ω |
0.30429001734132 |
Real period |
R |
1.1236135430991 |
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 |
28730b1 |
Quadratic twists by: 13 |