Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
8190ba |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-251644100198400 = -1 · 214 · 39 · 52 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11797,-585413] |
[a1,a2,a3,a4,a6] |
Generators |
[83:938:1] |
Generators of the group modulo torsion |
j |
9225324907317/12784844800 |
j-invariant |
L |
5.8462559213352 |
L(r)(E,1)/r! |
Ω |
0.29463925834718 |
Real period |
R |
0.70864573683991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520bz1 8190c1 40950h1 57330df1 |
Quadratic twists by: -4 -3 5 -7 |