Atkin-Lehner |
2- 3- 5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090cr |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
17980522560 = 26 · 36 · 5 · 72 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1643,25211] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:202:1] |
Generators of the group modulo torsion |
j |
672451615081/24664640 |
j-invariant |
L |
8.7586249060606 |
L(r)(E,1)/r! |
Ω |
1.2183899865799 |
Real period |
R |
0.5990572942699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001539 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010h1 |
Quadratic twists by: -3 |