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	1470p	Isogeny class
Conductor	1470	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	40693384370940 = 22 · 3 · 5 · 714	Discriminant
Eigenvalues	2- 3- 5+ 7-  4  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-18131,-889659]	[a1,a2,a3,a4,a6]
j	5602762882081/345888060	j-invariant
L	3.3041479902339	L(r)(E,1)/r!
Ω	0.41301849877924	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	11760br4 47040bq3 4410t4 7350g3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1470p3

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

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Quadratic twists for elliptic curve 1470p3

-4	8	-3	5	-7
11760br4	47040bq3	4410t4	7350g3	210c4

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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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