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
deg	800	Modular degree for the optimal curve
Δ	-954871379 = -1 · 72 · 117	Discriminant
Eigenvalues	0  1  3 7+ 11-  4  6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-10809,-436166]	[a1,a2,a3,a4,a6]
j	-78843215872/539	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	13552z1 54208l1 7623f1 21175q1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 847a1

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 847a1

-4	8	-3	5	-7	-11
13552z1	54208l1	7623f1	21175q1	5929b1	77b3

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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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