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	60	Product of Tamagawa factors cp
deg	11520	Modular degree for the optimal curve
Δ	-3621702331503 = -1 · 310 · 233 · 712	Discriminant
Eigenvalues	1 3- -4  2  0 -2  6  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-5498,-182113]	[a1,a2,a3,a4,a6]
Generators	[195:2386:1]	Generators of the group modulo torsion
j	-18374873741826841/3621702331503	j-invariant
L	4.4430422785376	L(r)(E,1)/r!
Ω	0.27430517411304	Real period
R	1.0798294983933	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	78384p1 14697b1 122475b1 112677d1	Quadratic twists by: -4 -3 5 -23

Hecke Eigenvalues for elliptic curve 4899c1

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 4899c1

-4	-3	5	-23
78384p1	14697b1	122475b1	112677d1

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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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