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	192	Product of Tamagawa factors cp
Δ	-5.2356719970703E+20	Discriminant
Eigenvalues	2- 3+ 5-  0 -4 -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-5039415,-4493412003]	[a1,a2,a3,a4,a6]
j	-14153507863526516575422961/523567199707031250000	j-invariant
L	2.4130907055857	L(r)(E,1)/r!
Ω	0.050272723033035	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	14640bl6 58560z5 5490e6 9150j6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1830g6

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 1830g6

-4	8	-3	5	-7	61
14640bl6	58560z5	5490e6	9150j6	89670cd5	111630d5

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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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