Atkin-Lehner |
2- 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
84960bi |
Isogeny class |
Conductor |
84960 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
149845635801000000 = 26 · 316 · 56 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-132897,-929936] |
[a1,a2,a3,a4,a6] |
j |
5563674858425536/3211712015625 |
j-invariant |
L |
1.6373871871473 |
L(r)(E,1)/r! |
Ω |
0.27289786993416 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
84960bn1 28320k1 |
Quadratic twists by: -4 -3 |