Atkin-Lehner |
2+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99008d |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
543355904 = 210 · 74 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ -2 -2 7+ 4 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-229,651] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:40:1] |
Generators of the group modulo torsion |
j |
1302642688/530621 |
j-invariant |
L |
3.6047826121339 |
L(r)(E,1)/r! |
Ω |
1.4898549470796 |
Real period |
R |
2.4195527390647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999983684 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99008cp1 6188b1 |
Quadratic twists by: -4 8 |