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	246c	Isogeny class
Conductor	246	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-60769798505543808 = -1 · 27 · 324 · 412	Discriminant
Eigenvalues	2+ 3- -2  2  4  4 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-453257,-118088116]	[a1,a2,a3,a4,a6]
j	-10298071306410575356297/60769798505543808	j-invariant
L	1.1035997476503	L(r)(E,1)/r!
Ω	0.091966645637526	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	1968e2 7872b2 738h2 6150w2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 246c2

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	0	4	0	4	2	+	-12	-2	-4	-4	10	-8	-10	-2	-14	-12	10	-18

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Quadratic twists for elliptic curve 246c2

-4	8	-3	5	-7	-11	13	17	-19	41
1968e2	7872b2	738h2	6150w2	12054h2	29766bu2	41574r2	71094b2	88806p2	10086c2

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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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