Atkin-Lehner |
2+ 3- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18270u |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
47734686720 = 210 · 38 · 5 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1044,7888] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:95:1] |
Generators of the group modulo torsion |
j |
172715635009/65479680 |
j-invariant |
L |
3.8322792123738 |
L(r)(E,1)/r! |
Ω |
1.0324608625928 |
Real period |
R |
0.92794781652788 |
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 |
6090r1 91350en1 127890bq1 |
Quadratic twists by: -3 5 -7 |