Cremona's table of elliptic curves

1830 = 2 · 3 · 5 · 61

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 61-	Signs for the Atkin-Lehner involutions
Class	1830g	Isogeny class
Conductor	1830	Conductor
∏ cp	384	Product of Tamagawa factors cp
Δ	18837562500000000 = 28 · 34 · 512 · 612	Discriminant
Eigenvalues	2- 3+ 5-  0 -4 -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-5083335,-4413460035]	[a1,a2,a3,a4,a6]
j	14526798467252802652531441/18837562500000000	j-invariant
L	2.4130907055857	L(r)(E,1)/r!
Ω	0.10054544606607	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	14640bl4 58560z4 5490e4 9150j3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1830g3

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	-2	2	4	8	6	8	-2	-6	4	8	6	-4	-	-4	8	-6	8	-4	2	2

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Quadratic twists for elliptic curve 1830g3

-4	8	-3	5	-7	61
14640bl4	58560z4	5490e4	9150j3	89670cd4	111630d4

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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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