Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5610n |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10449720703125000 = 23 · 32 · 512 · 112 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-220364,-39529438] |
[a1,a2,a3,a4,a6] |
Generators |
[39636:482575:64] |
Generators of the group modulo torsion |
j |
1183430669265454849849/10449720703125000 |
j-invariant |
L |
3.4461483901171 |
L(r)(E,1)/r! |
Ω |
0.22046823019752 |
Real period |
R |
7.8155215085405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44880bc4 16830cp4 28050cj4 61710co4 |
Quadratic twists by: -4 -3 5 -11 |