Cremona's table of elliptic curves

986 = 2 · 17 · 29

Field	Data	Notes
Atkin-Lehner	2+ 17- 29-	Signs for the Atkin-Lehner involutions
Class	986c	Isogeny class
Conductor	986	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-13081869376 = -1 · 26 · 172 · 294	Discriminant
Eigenvalues	2+  2 -2 -2 -2  2 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,44,5520]	[a1,a2,a3,a4,a6]
Generators	[48:324:1]	Generators of the group modulo torsion
j	9090072503/13081869376	j-invariant
L	2.1668844307302	L(r)(E,1)/r!
Ω	0.98682566845906	Real period
R	0.54895319912833	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7888i2 31552h2 8874i2 24650bf2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 986c2

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	-2	-2	-2	2	-	-4	6	-	-10	-10	2	-12	-12	6	0	6	4	10	-14	10	0	14	10

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Quadratic twists for elliptic curve 986c2

-4	8	-3	5	-7	-11	17	29
7888i2	31552h2	8874i2	24650bf2	48314j2	119306q2	16762b2	28594k2

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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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