Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
5490h |
Isogeny class |
Conductor |
5490 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-2701491750 = -1 · 2 · 311 · 53 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -2 1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-225,2875] |
[a1,a2,a3,a4,a6] |
Generators |
[11:35:1] |
Generators of the group modulo torsion |
j |
-1732323601/3705750 |
j-invariant |
L |
2.9330471950608 |
L(r)(E,1)/r! |
Ω |
1.2773502724344 |
Real period |
R |
0.5740491191721 |
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 |
43920bu1 1830i1 27450bw1 |
Quadratic twists by: -4 -3 5 |