Atkin-Lehner |
2+ 7+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
89488a |
Isogeny class |
Conductor |
89488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1456128 |
Modular degree for the optimal curve |
Δ |
9993751582180352 = 210 · 76 · 17 · 474 |
Discriminant |
Eigenvalues |
2+ 2 0 7+ -6 6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-672568,212471040] |
[a1,a2,a3,a4,a6] |
Generators |
[-3894:472654:27] |
Generators of the group modulo torsion |
j |
32857385408334710500/9759523029473 |
j-invariant |
L |
8.3991385134019 |
L(r)(E,1)/r! |
Ω |
0.39877675857414 |
Real period |
R |
5.2655642011706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019733 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44744c1 |
Quadratic twists by: -4 |