Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710cm |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-584906302827032670 = -1 · 2 · 33 · 5 · 1110 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,86089,-35481225] |
[a1,a2,a3,a4,a6] |
Generators |
[2078:15785:8] |
Generators of the group modulo torsion |
j |
39829997144951/330164359470 |
j-invariant |
L |
11.961824316092 |
L(r)(E,1)/r! |
Ω |
0.14398861426853 |
Real period |
R |
6.9228994116327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610m4 |
Quadratic twists by: -11 |