Cremona's table of elliptic curves

4830 = 2 · 3 · 5 · 7 · 23

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 7- 23+	Signs for the Atkin-Lehner involutions
Class	4830f	Isogeny class
Conductor	4830	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	6400	Modular degree for the optimal curve
Δ	136564270080 = 210 · 3 · 5 · 75 · 232	Discriminant
Eigenvalues	2+ 3+ 5- 7-  2 -2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-5497,-158171]	[a1,a2,a3,a4,a6]
Generators	[-45:47:1]	Generators of the group modulo torsion
j	18374873741826841/136564270080	j-invariant
L	2.6671792106547	L(r)(E,1)/r!
Ω	0.5546926548273	Real period
R	0.96167821493334	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	38640cy1 14490bs1 24150cg1 33810bb1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4830f1

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
+	+	-	-	2	-2	0	-2	+	0	-2	-2	-6	2	-2	-10	4	2	-14	-14	-10	0	10	10	-10

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Quadratic twists for elliptic curve 4830f1

-4	-3	5	-7	-23
38640cy1	14490bs1	24150cg1	33810bb1	111090b1

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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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