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	4830l	Isogeny class
Conductor	4830	Conductor
∏ cp	144	Product of Tamagawa factors cp
Δ	6336721794060000 = 25 · 312 · 54 · 72 · 233	Discriminant
Eigenvalues	2+ 3- 5+ 7-  0 -4  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-2073844,1149329042]	[a1,a2,a3,a4,a6]
j	986396822567235411402169/6336721794060000	j-invariant
L	1.510780206122	L(r)(E,1)/r!
Ω	0.3776950515305	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	38640bd2 14490ca2 24150bl2 33810t2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4830l2

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

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Quadratic twists for elliptic curve 4830l2

-4	-3	5	-7	-23
38640bd2	14490ca2	24150bl2	33810t2	111090bd2

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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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