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	4830y	Isogeny class
Conductor	4830	Conductor
∏ cp	1600	Product of Tamagawa factors cp
deg	153600	Modular degree for the optimal curve
Δ	-6605028468326400000 = -1 · 220 · 3 · 55 · 74 · 234	Discriminant
Eigenvalues	2- 3+ 5- 7-  0 -6 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,288380,108455045]	[a1,a2,a3,a4,a6]
Generators	[-227:5713:1]	Generators of the group modulo torsion
j	2652277923951208297919/6605028468326400000	j-invariant
L	5.0578881623537	L(r)(E,1)/r!
Ω	0.16575857733038	Real period
R	0.30513583331935	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	38640cu1 14490n1 24150x1 33810cx1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4830y1

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

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Quadratic twists for elliptic curve 4830y1

-4	-3	5	-7	-23
38640cu1	14490n1	24150x1	33810cx1	111090bn1

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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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