Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510u |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
220563958230 = 2 · 312 · 5 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2970,58806] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:363:1] |
Generators of the group modulo torsion |
j |
11589205447/882090 |
j-invariant |
L |
4.1348902746407 |
L(r)(E,1)/r! |
Ω |
0.97461176838547 |
Real period |
R |
1.0606506120652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999628 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170cg2 48510bo2 |
Quadratic twists by: -3 -7 |