Cremona's table of elliptic curves

5984 = 2⁵ · 11 · 17

Field	Data	Notes
Atkin-Lehner	2+ 11- 17-	Signs for the Atkin-Lehner involutions
Class	5984c	Isogeny class
Conductor	5984	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	2880	Modular degree for the optimal curve
Δ	-221360128 = -1 · 212 · 11 · 173	Discriminant
Eigenvalues	2+ -2 -2 -5 11- -2 17- -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-429,3355]	[a1,a2,a3,a4,a6]
Generators	[-3:68:1]	Generators of the group modulo torsion
j	-2136719872/54043	j-invariant
L	1.600980665543	L(r)(E,1)/r!
Ω	1.7673497587934	Real period
R	0.15097753548568	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	5984b1 11968s1 53856u1 65824l1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 5984c1

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	-5	-	-2	-	-2	0	1	2	6	5	-6	-1	9	-11	6	11	-16	5	-4	14	5	14

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Quadratic twists for elliptic curve 5984c1

-4	8	-3	-11	17
5984b1	11968s1	53856u1	65824l1	101728b1

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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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