Cremona's table of elliptic curves

5244 = 2² · 3 · 19 · 23

Field	Data	Notes
Atkin-Lehner	2- 3+ 19+ 23-	Signs for the Atkin-Lehner involutions
Class	5244c	Isogeny class
Conductor	5244	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	3840	Modular degree for the optimal curve
Δ	-16881820416 = -1 · 28 · 38 · 19 · 232	Discriminant
Eigenvalues	2- 3+ -3  3  3 -4 -1 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-77,-6231]	[a1,a2,a3,a4,a6]
Generators	[152:1863:1]	Generators of the group modulo torsion
j	-199794688/65944611	j-invariant
L	2.9458347086347	L(r)(E,1)/r!
Ω	0.55262793506164	Real period
R	1.3326482981294	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	20976l1 83904s1 15732d1 99636e1	Quadratic twists by: -4 8 -3 -19

Hecke Eigenvalues for elliptic curve 5244c1

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
-	+	-3	3	3	-4	-1	+	-	0	0	-8	6	-1	11	-12	10	-7	14	0	-7	-4	-4	-4	-4

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Quadratic twists for elliptic curve 5244c1

-4	8	-3	-19	-23
20976l1	83904s1	15732d1	99636e1	120612e1

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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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