Cremona's table of elliptic curves

5928 = 2³ · 3 · 13 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3+ 13+ 19-	Signs for the Atkin-Lehner involutions
Class	5928a	Isogeny class
Conductor	5928	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	57600	Modular degree for the optimal curve
Δ	10501717313769552 = 24 · 318 · 13 · 194	Discriminant
Eigenvalues	2+ 3+  0  4 -2 13+ -6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-558163,160615864]	[a1,a2,a3,a4,a6]
j	1201953427358681344000/656357332110597	j-invariant
L	1.6035109243635	L(r)(E,1)/r!
Ω	0.40087773109088	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	11856h1 47424bo1 17784o1 77064m1	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for elliptic curve 5928a1

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	4	-2	+	-6	-	-4	2	0	-2	8	12	2	6	2	10	0	-6	6	8	6	-4	-2

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Quadratic twists for elliptic curve 5928a1

-4	8	-3	13	-19
11856h1	47424bo1	17784o1	77064m1	112632z1

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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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