Atkin-Lehner |
2+ 7+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
81872c |
Isogeny class |
Conductor |
81872 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-573104 = -1 · 24 · 72 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ -1 -1 7+ 2 -5 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9,-38] |
[a1,a2,a3,a4,a6] |
Generators |
[6:14:1] [34:196:1] |
Generators of the group modulo torsion |
j |
4499456/35819 |
j-invariant |
L |
8.097778685447 |
L(r)(E,1)/r! |
Ω |
1.443877312575 |
Real period |
R |
2.8041782410849 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40936e1 |
Quadratic twists by: -4 |