Cremona's table of elliptic curves

847 = 7 · 11²

Field	Data	Notes
Atkin-Lehner	7- 11-	Signs for the Atkin-Lehner involutions
Class	847b	Isogeny class
Conductor	847	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	480	Modular degree for the optimal curve
Δ	-954871379 = -1 · 72 · 117	Discriminant
Eigenvalues	0 -3 -1 7- 11-  4 -2  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,242,-333]	[a1,a2,a3,a4,a6]
Generators	[55:423:1]	Generators of the group modulo torsion
j	884736/539	j-invariant
L	1.2780958682171	L(r)(E,1)/r!
Ω	0.90885005369418	Real period
R	0.17578475445731	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	13552t1 54208bp1 7623l1 21175f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 847b1

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	-3	-1	-	-	4	-2	6	-5	-10	1	-5	2	8	8	-6	3	2	-3	1	-10	-6	-12	-15	-5

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Quadratic twists for elliptic curve 847b1

-4	8	-3	5	-7	-11
13552t1	54208bp1	7623l1	21175f1	5929c1	77a1

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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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