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	4899c	Isogeny class
Conductor	4899	Conductor
∏ cp	30	Product of Tamagawa factors cp
Δ	2554063192917 = 35 · 236 · 71	Discriminant
Eigenvalues	1 3- -4  2  0 -2  6  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-91763,-10706443]	[a1,a2,a3,a4,a6]
Generators	[2838:8099:8]	Generators of the group modulo torsion
j	85451505610852693801/2554063192917	j-invariant
L	4.4430422785376	L(r)(E,1)/r!
Ω	0.27430517411304	Real period
R	2.1596589967866	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	78384p2 14697b2 122475b2 112677d2	Quadratic twists by: -4 -3 5 -23

Hecke Eigenvalues for elliptic curve 4899c2

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

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Quadratic twists for elliptic curve 4899c2

-4	-3	5	-23
78384p2	14697b2	122475b2	112677d2

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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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