Cremona's table of elliptic curves

16800 = 2⁵ · 3 · 5² · 7

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7-	Signs for the Atkin-Lehner involutions
Class	16800bi	Isogeny class
Conductor	16800	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	1837080000000 = 29 · 38 · 57 · 7	Discriminant
Eigenvalues	2- 3+ 5+ 7- -4  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-10008,-376488]	[a1,a2,a3,a4,a6]
Generators	[954:2673:8]	Generators of the group modulo torsion
j	13858588808/229635	j-invariant
L	4.1686460225852	L(r)(E,1)/r!
Ω	0.47779927673584	Real period
R	4.3623402394662	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	16800p3 33600cz3 50400bm3 3360m2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 16800bi2

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
-	+	+	-	-4	2	2	0	0	6	-8	-2	-6	4	0	6	-8	-2	4	4	10	-12	4	-6	2

---

Quadratic twists for elliptic curve 16800bi2

-4	8	-3	5	-7
16800p3	33600cz3	50400bm3	3360m2	117600he3

---

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