Cremona's table of elliptic curves

4899 = 3 · 23 · 71

Field	Data	Notes
Atkin-Lehner	3- 23+ 71+	Signs for the Atkin-Lehner involutions
Class	4899a	Isogeny class
Conductor	4899	Conductor
∏ cp	28	Product of Tamagawa factors cp
Δ	29399358217563 = 37 · 232 · 714	Discriminant
Eigenvalues	1 3-  4 -2  4  2  4 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-9249,220909]	[a1,a2,a3,a4,a6]
j	87486400746254089/29399358217563	j-invariant
L	4.2705974460993	L(r)(E,1)/r!
Ω	0.61008534944276	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	78384x2 14697e2 122475f2 112677e2	Quadratic twists by: -4 -3 5 -23

Hecke Eigenvalues for elliptic curve 4899a2

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
1	-	4	-2	4	2	4	-2	+	-6	0	2	6	-2	8	12	-12	2	-10	+	2	-2	-4	12	14

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Quadratic twists for elliptic curve 4899a2

-4	-3	5	-23
78384x2	14697e2	122475f2	112677e2

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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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