Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
5160n |
Isogeny class |
Conductor |
5160 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-35446128768000 = -1 · 210 · 34 · 53 · 434 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2880,291600] |
[a1,a2,a3,a4,a6] |
Generators |
[0:540:1] |
Generators of the group modulo torsion |
j |
-2580786074884/34615360125 |
j-invariant |
L |
4.7832885672582 |
L(r)(E,1)/r! |
Ω |
0.55288466066666 |
Real period |
R |
1.4419187543536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10320e4 41280a3 15480d4 25800a3 |
Quadratic twists by: -4 8 -3 5 |