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	4830j	Isogeny class
Conductor	4830	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	51420783750 = 2 · 3 · 54 · 72 · 234	Discriminant
Eigenvalues	2+ 3- 5+ 7+  4  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1844,28292]	[a1,a2,a3,a4,a6]
Generators	[-22:252:1]	Generators of the group modulo torsion
j	692895692874169/51420783750	j-invariant
L	3.1804940054169	L(r)(E,1)/r!
Ω	1.1010251619635	Real period
R	0.72216651246759	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	38640bo4 14490bt3 24150bs4 33810v4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4830j3

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

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Quadratic twists for elliptic curve 4830j3

-4	-3	5	-7	-23
38640bo4	14490bt3	24150bs4	33810v4	111090bk4

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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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