Atkin-Lehner |
3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5355a |
Isogeny class |
Conductor |
5355 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-81979695 = -1 · 39 · 5 · 72 · 17 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 0 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15,440] |
[a1,a2,a3,a4,a6] |
Generators |
[8:24:1] |
Generators of the group modulo torsion |
j |
-19683/4165 |
j-invariant |
L |
4.1753233149303 |
L(r)(E,1)/r! |
Ω |
1.5691569687913 |
Real period |
R |
2.6608703896249 |
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 |
85680cs1 5355b1 26775g1 37485o1 |
Quadratic twists by: -4 -3 5 -7 |