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	16	Product of Tamagawa factors cp
Δ	676197025344 = 26 · 314 · 472	Discriminant
Eigenvalues	2+ 3- -2  0  0  2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-2358,20020]	[a1,a2,a3,a4,a6]
Generators	[-28:266:1]	Generators of the group modulo torsion
j	1989441544033/927567936	j-invariant
L	1.6551206746339	L(r)(E,1)/r!
Ω	0.81106328775313	Real period
R	2.0406800549672	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	6768o2 27072bc2 282a2 21150bv2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 846c2

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 846c2

-4	8	-3	5	-7	-11	-47
6768o2	27072bc2	282a2	21150bv2	41454p2	102366bo2	39762j2

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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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