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	1830k	Isogeny class
Conductor	1830	Conductor
∏ cp	9	Product of Tamagawa factors cp
Δ	-680943000 = -1 · 23 · 3 · 53 · 613	Discriminant
Eigenvalues	2- 3- 5+  5  6 -1 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-806,-8964]	[a1,a2,a3,a4,a6]
j	-57911193276769/680943000	j-invariant
L	4.0292235206918	L(r)(E,1)/r!
Ω	0.44769150229908	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	14640w2 58560q2 5490l2 9150e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1830k2

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
-	-	+	5	6	-1	-6	2	-6	6	-10	-4	0	8	-9	-9	12	-	-4	-9	2	2	-18	-3	2

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Quadratic twists for elliptic curve 1830k2

-4	8	-3	5	-7	61
14640w2	58560q2	5490l2	9150e2	89670bo2	111630l2

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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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