Atkin-Lehner |
2- 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
5490n |
Isogeny class |
Conductor |
5490 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-658800000 = -1 · 27 · 33 · 55 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 0 -3 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-287,2311] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-166:1] |
Generators of the group modulo torsion |
j |
-96513090003/24400000 |
j-invariant |
L |
5.8489209576082 |
L(r)(E,1)/r! |
Ω |
1.5392393908021 |
Real period |
R |
0.054283962702238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43920bc1 5490a1 27450a1 |
Quadratic twists by: -4 -3 5 |