Atkin-Lehner |
5- 7- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
90475j |
Isogeny class |
Conductor |
90475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
34975373125 = 54 · 72 · 11 · 473 |
Discriminant |
Eigenvalues |
-1 1 5- 7- 11+ 1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5788,-169733] |
[a1,a2,a3,a4,a6] |
Generators |
[261:3884:1] |
Generators of the group modulo torsion |
j |
34311045497425/55960597 |
j-invariant |
L |
5.1974482065032 |
L(r)(E,1)/r! |
Ω |
0.54740602951439 |
Real period |
R |
4.7473428550096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90475a1 |
Quadratic twists by: 5 |