Atkin-Lehner |
2- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
5060b |
Isogeny class |
Conductor |
5060 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1303868896000 = -1 · 28 · 53 · 116 · 23 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 11+ -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1661,-61361] |
[a1,a2,a3,a4,a6] |
Generators |
[1498:19965:8] |
Generators of the group modulo torsion |
j |
-1980861374464/5093237875 |
j-invariant |
L |
2.2017474685748 |
L(r)(E,1)/r! |
Ω |
0.34786983304466 |
Real period |
R |
3.1646139725662 |
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 |
20240q2 80960bf2 45540u2 25300b2 |
Quadratic twists by: -4 8 -3 5 |