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	4899b	Isogeny class
Conductor	4899	Conductor
∏ cp	40	Product of Tamagawa factors cp
deg	102400	Modular degree for the optimal curve
Δ	-9.6579537686934E+18	Discriminant
Eigenvalues	1 3-  0 -2 -4  2  8  6	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-274231,159387317]	[a1,a2,a3,a4,a6]
Generators	[145:11003:1]	Generators of the group modulo torsion
j	-2280715308504796299625/9657953768693403567	j-invariant
L	5.0505881348564	L(r)(E,1)/r!
Ω	0.20025377052732	Real period
R	2.522093901931	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	78384s1 14697d1 122475i1 112677l1	Quadratic twists by: -4 -3 5 -23

Hecke Eigenvalues for elliptic curve 4899b1

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	-	0	-2	-4	2	8	6	+	-6	4	2	-6	-10	0	-8	12	-10	-10	-	-14	-10	-16	8	10

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Quadratic twists for elliptic curve 4899b1

-4	-3	5	-23
78384s1	14697d1	122475i1	112677l1

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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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