Atkin-Lehner |
2+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2210b |
Isogeny class |
Conductor |
2210 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1834472656250 = 2 · 512 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5673,150506] |
[a1,a2,a3,a4,a6] |
Generators |
[122:1069:1] |
Generators of the group modulo torsion |
j |
20186080966364041/1834472656250 |
j-invariant |
L |
1.8666977131596 |
L(r)(E,1)/r! |
Ω |
0.81318079568658 |
Real period |
R |
3.4433259917006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
17680l2 70720b2 19890z2 11050l2 |
Quadratic twists by: -4 8 -3 5 |