Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
5490m |
Isogeny class |
Conductor |
5490 |
Conductor |
∏ cp |
130 |
Product of Tamagawa factors cp |
deg |
43680 |
Modular degree for the optimal curve |
Δ |
-23351398530048000 = -1 · 213 · 33 · 53 · 615 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 4 1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,68437,2545531] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:746:1] |
Generators of the group modulo torsion |
j |
1312921583804564973/864866612224000 |
j-invariant |
L |
5.1739884740419 |
L(r)(E,1)/r! |
Ω |
0.23793811756095 |
Real period |
R |
0.16727001014702 |
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 |
43920z1 5490d1 27450e1 |
Quadratic twists by: -4 -3 5 |