Cremona's table of elliptic curves

847 = 7 · 11²

Field	Data	Notes
Atkin-Lehner	7+ 11-	Signs for the Atkin-Lehner involutions
Class	847a	Isogeny class
Conductor	847	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-204685160301366899 = -1 · 72 · 1115	Discriminant
Eigenvalues	0  1  3 7+ 11-  4  6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,53321,21262764]	[a1,a2,a3,a4,a6]
j	9463555063808/115539436859	j-invariant
L	1.872878656683	L(r)(E,1)/r!
Ω	0.23410983208538	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	13552z3 54208l3 7623f3 21175q3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 847a3

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
0	1	3	+	-	4	6	-2	3	6	5	11	-6	-8	0	-6	-9	10	5	9	-2	10	-12	-3	-1

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Quadratic twists for elliptic curve 847a3

-4	8	-3	5	-7	-11
13552z3	54208l3	7623f3	21175q3	5929b3	77b2

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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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