Atkin-Lehner |
3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
5475i |
Isogeny class |
Conductor |
5475 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1680 |
Modular degree for the optimal curve |
Δ |
-3421875 = -1 · 3 · 56 · 73 |
Discriminant |
Eigenvalues |
2 3- 5+ -2 -4 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-158,719] |
[a1,a2,a3,a4,a6] |
Generators |
[42:59:8] |
Generators of the group modulo torsion |
j |
-28094464/219 |
j-invariant |
L |
8.095391066862 |
L(r)(E,1)/r! |
Ω |
2.519527472014 |
Real period |
R |
3.2130592568577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87600bn1 16425l1 219a1 |
Quadratic twists by: -4 -3 5 |