Cremona's table of elliptic curves

84966 = 2 · 3 · 7² · 17²

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 17+	Signs for the Atkin-Lehner involutions
Class	84966cw	Isogeny class
Conductor	84966	Conductor
∏ cp	384	Product of Tamagawa factors cp
deg	2654208	Modular degree for the optimal curve
Δ	-1.245750835612E+19	Discriminant
Eigenvalues	2- 3+ -2 7-  0  6 17+  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,13866,-169807149]	[a1,a2,a3,a4,a6]
Generators	[1123:34985:1]	Generators of the group modulo torsion
j	103823/4386816	j-invariant
L	8.206807170705	L(r)(E,1)/r!
Ω	0.10368384217476	Real period
R	3.2980095209058	Regulator
r	1	Rank of the group of rational points
S	1.0000000003595	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	12138ba1 4998bl1	Quadratic twists by: -7 17

Hecke Eigenvalues for elliptic curve 84966cw1

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	6	+	0	8	6	-8	-10	-6	12	0	-10	8	6	12	0	-6	8	-16	-2	2

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Quadratic twists for elliptic curve 84966cw1

-7	17
12138ba1	4998bl1

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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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