Atkin-Lehner |
3- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78585o |
Isogeny class |
Conductor |
78585 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-4.9631126987284E+26 |
Discriminant |
Eigenvalues |
0 3- 5- 1 3 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-635114055,6252973951709] |
[a1,a2,a3,a4,a6] |
Generators |
[36351:5585812:1] |
Generators of the group modulo torsion |
j |
-5869738723523437004161024/102823888385232421875 |
j-invariant |
L |
7.7423848256338 |
L(r)(E,1)/r! |
Ω |
0.052428997159221 |
Real period |
R |
1.367349220726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6045h2 |
Quadratic twists by: 13 |