Atkin-Lehner |
3- 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
110019u |
Isogeny class |
Conductor |
110019 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
8.6360512964193E+21 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 2 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7775102,7045063245] |
[a1,a2,a3,a4,a6] |
Generators |
[57279:240493:27] |
Generators of the group modulo torsion |
j |
10769161433873320297/1789184385878799 |
j-invariant |
L |
5.8924698134657 |
L(r)(E,1)/r! |
Ω |
0.12461341416109 |
Real period |
R |
2.3642999566504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8463h2 |
Quadratic twists by: 13 |