Cremona's table of elliptic curves

1230 = 2 · 3 · 5 · 41

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 41+	Signs for the Atkin-Lehner involutions
Class	1230h	Isogeny class
Conductor	1230	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-192379221760500 = -1 · 22 · 34 · 53 · 416	Discriminant
Eigenvalues	2- 3- 5+ -4 -6 -4  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-10256,-778764]	[a1,a2,a3,a4,a6]
Generators	[184:1798:1]	Generators of the group modulo torsion
j	-119305480789133569/192379221760500	j-invariant
L	3.6717323198394	L(r)(E,1)/r!
Ω	0.2246251422421	Real period
R	4.0865108455692	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	9840l4 39360p4 3690l4 6150c4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1230h4

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

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Quadratic twists for elliptic curve 1230h4

-4	8	-3	5	-7	41
9840l4	39360p4	3690l4	6150c4	60270bd4	50430s4

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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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