Cremona's table of elliptic curves

846 = 2 · 3² · 47

Field	Data	Notes
Atkin-Lehner	2+ 3- 47-	Signs for the Atkin-Lehner involutions
Class	846c	Isogeny class
Conductor	846	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	2305122266952 = 23 · 310 · 474	Discriminant
Eigenvalues	2+ 3- -2  0  0  2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-31518,2160364]	[a1,a2,a3,a4,a6]
Generators	[-1:1481:1]	Generators of the group modulo torsion
j	4749849927048673/3162033288	j-invariant
L	1.6551206746339	L(r)(E,1)/r!
Ω	0.81106328775313	Real period
R	1.0203400274836	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	6768o3 27072bc4 282a3 21150bv4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 846c4

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	0	0	2	-2	0	0	-2	-8	-2	-2	-8	-	2	4	-10	-8	0	10	0	-12	-10	2

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Quadratic twists for elliptic curve 846c4

-4	8	-3	5	-7	-11	-47
6768o3	27072bc4	282a3	21150bv4	41454p4	102366bo4	39762j4

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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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