Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8160n |
Isogeny class |
Conductor |
8160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
896 |
Modular degree for the optimal curve |
Δ |
-277440 = -1 · 26 · 3 · 5 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6,24] |
[a1,a2,a3,a4,a6] |
Generators |
[5:12:1] |
Generators of the group modulo torsion |
j |
-438976/4335 |
j-invariant |
L |
5.2019932974634 |
L(r)(E,1)/r! |
Ω |
2.6362769369629 |
Real period |
R |
1.9732347632098 |
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 |
8160g1 16320cb1 24480s1 40800k1 |
Quadratic twists by: -4 8 -3 5 |