Cremona's table of elliptic curves

2730 = 2 · 3 · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7- 13-	Signs for the Atkin-Lehner involutions
Class	2730bd	Isogeny class
Conductor	2730	Conductor
∏ cp	216	Product of Tamagawa factors cp
Δ	25701087819771000 = 23 · 324 · 53 · 7 · 13	Discriminant
Eigenvalues	2- 3- 5- 7-  0 13-  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-496405,-134437975]	[a1,a2,a3,a4,a6]
j	13527956825588849127121/25701087819771000	j-invariant
L	4.3171915696536	L(r)(E,1)/r!
Ω	0.1798829820689	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	21840bk5 87360m5 8190m4 13650a4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2730bd4

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

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Quadratic twists for elliptic curve 2730bd4

-4	8	-3	5	-7	13
21840bk5	87360m5	8190m4	13650a4	19110bo4	35490x5

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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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