Cremona's table of elliptic curves

6800 = 2⁴ · 5² · 17

Field	Data	Notes
Atkin-Lehner	2- 5+ 17+	Signs for the Atkin-Lehner involutions
Class	6800l	Isogeny class
Conductor	6800	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-11560000000000 = -1 · 212 · 510 · 172	Discriminant
Eigenvalues	2-  2 5+ -2 -2 -2 17+  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1408,165312]	[a1,a2,a3,a4,a6]
j	-4826809/180625	j-invariant
L	2.3844793164442	L(r)(E,1)/r!
Ω	0.59611982911105	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	425d2 27200ce2 61200fs2 1360g2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6800l2

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
-	2	+	-2	-2	-2	+	0	6	-6	10	-2	10	4	12	10	-8	-14	8	2	14	14	4	6	-2

---

Quadratic twists for elliptic curve 6800l2

-4	8	-3	5	17
425d2	27200ce2	61200fs2	1360g2	115600ca2

---

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