Cremona's table of elliptic curves

246 = 2 · 3 · 41

Field	Data	Notes
Atkin-Lehner	2+ 3- 41+	Signs for the Atkin-Lehner involutions
Class	246f	Isogeny class
Conductor	246	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	20	Modular degree for the optimal curve
Δ	-2214 = -1 · 2 · 33 · 41	Discriminant
Eigenvalues	2+ 3-  3  2 -6 -1  3  5	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-2,2]	[a1,a2,a3,a4,a6]
j	-389017/2214	j-invariant
L	1.3316520798733	L(r)(E,1)/r!
Ω	3.9949562396199	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	1968g1 7872e1 738j1 6150x1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 246f1

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
+	-	3	2	-6	-1	3	5	-6	0	-1	2	+	8	-12	6	-9	-10	-13	15	-7	-4	3	15	2

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Quadratic twists for elliptic curve 246f1

-4	8	-3	5	-7	-11	13	17	-19	41
1968g1	7872e1	738j1	6150x1	12054i1	29766bv1	41574t1	71094c1	88806q1	10086d1

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

Part of Computational Number Theory
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