Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710bb |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.2255202972871E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12991894,-6418848658] |
[a1,a2,a3,a4,a6] |
Generators |
[4498:159467:1] |
Generators of the group modulo torsion |
j |
136894171818794254129/69177425857031250 |
j-invariant |
L |
3.6672177751708 |
L(r)(E,1)/r! |
Ω |
0.083868142316655 |
Real period |
R |
1.3664372705424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000127 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610bg3 |
Quadratic twists by: -11 |