Cremona's table of elliptic curves

1470 = 2 · 3 · 5 · 7²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7-	Signs for the Atkin-Lehner involutions
Class	1470k	Isogeny class
Conductor	1470	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-3.1666997680664E+19	Discriminant
Eigenvalues	2- 3+ 5+ 7- -4  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,62229,270705693]	[a1,a2,a3,a4,a6]
Generators	[867:30828:1]	Generators of the group modulo torsion
j	226523624554079/269165039062500	j-invariant
L	3.2367076222742	L(r)(E,1)/r!
Ω	0.16286597782507	Real period
R	4.9683605893287	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	11760ch6 47040dm5 4410r6 7350bc6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1470k6

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	2	-2	-4	-8	-2	0	6	6	-4	0	-10	-12	-14	-12	-8	-10	16	12	-10	-2

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Quadratic twists for elliptic curve 1470k6

-4	8	-3	5	-7
11760ch6	47040dm5	4410r6	7350bc6	210e6

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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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