Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
41280da |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-2888939520000 = -1 · 214 · 38 · 54 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 1 5 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18581,-984525] |
[a1,a2,a3,a4,a6] |
j |
-43304636317696/176326875 |
j-invariant |
L |
3.2705025680556 |
L(r)(E,1)/r! |
Ω |
0.20440641049577 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41280e1 10320u1 123840gi1 |
Quadratic twists by: -4 8 -3 |