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	246d	Isogeny class
Conductor	246	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-88232328 = -1 · 23 · 38 · 412	Discriminant
Eigenvalues	2+ 3+ -2  2 -4 -4 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-26,444]	[a1,a2,a3,a4,a6]
Generators	[1:20:1]	Generators of the group modulo torsion
j	-2062933417/88232328	j-invariant
L	1.0083093656707	L(r)(E,1)/r!
Ω	1.5882558904319	Real period
R	0.6348532196512	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	1968l2 7872j2 738g2 6150bb2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 246d2

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	-4	-4	-2	-8	4	-8	4	2	+	4	-2	4	12	-6	16	6	-2	-14	4	-6	-2

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Quadratic twists for elliptic curve 246d2

-4	8	-3	5	-7	-11	13	17	-19	41
1968l2	7872j2	738g2	6150bb2	12054s2	29766bl2	41574o2	71094n2	88806v2	10086j2

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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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