Cremona's table of elliptic curves

16400 = 2⁴ · 5² · 41

Field	Data	Notes
Atkin-Lehner	2- 5+ 41-	Signs for the Atkin-Lehner involutions
Class	16400s	Isogeny class
Conductor	16400	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-4521217600000000 = -1 · 212 · 58 · 414	Discriminant
Eigenvalues	2-  0 5+ -4  0  2  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,39325,-1206750]	[a1,a2,a3,a4,a6]
Generators	[71:1394:1]	Generators of the group modulo torsion
j	105087226959/70644025	j-invariant
L	3.8865001008428	L(r)(E,1)/r!
Ω	0.24735795268661	Real period
R	1.9640060379254	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	1025b4 65600bx3 3280m4	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 16400s4

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	0	+	-4	0	2	6	0	-8	6	0	-6	-	4	-4	-6	4	14	-8	12	6	4	4	-6	6

---

Quadratic twists for elliptic curve 16400s4

-4	8	5
1025b4	65600bx3	3280m4

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations