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	4830u	Isogeny class
Conductor	4830	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-1627294921875000 = -1 · 23 · 32 · 514 · 7 · 232	Discriminant
Eigenvalues	2- 3+ 5+ 7-  0  6  4  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-112006,14511419]	[a1,a2,a3,a4,a6]
j	-155398856216042825569/1627294921875000	j-invariant
L	2.8577614090183	L(r)(E,1)/r!
Ω	0.47629356816972	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	38640cj2 14490w2 24150y2 33810dh2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4830u2

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	6	4	4	-	-8	-4	2	0	4	-4	0	-8	-6	4	12	-4	12	4	-6	6

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Quadratic twists for elliptic curve 4830u2

-4	-3	5	-7	-23
38640cj2	14490w2	24150y2	33810dh2	111090cc2

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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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