Atkin-Lehner |
2+ 3- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710bl |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
4.7817893020194E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1123488,-315368594] |
[a1,a2,a3,a4,a6] |
Generators |
[-760:10362:1] |
Generators of the group modulo torsion |
j |
88526309511756241/26991954000000 |
j-invariant |
L |
7.6014944837143 |
L(r)(E,1)/r! |
Ω |
0.1501179175447 |
Real period |
R |
1.0549338214495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991952 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610bl2 |
Quadratic twists by: -11 |