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	32	Product of Tamagawa factors cp
Δ	-4221301267968750 = -1 · 2 · 38 · 58 · 77	Discriminant
Eigenvalues	2- 3- 5+ 7-  4  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-48021,5112351]	[a1,a2,a3,a4,a6]
j	-104094944089921/35880468750	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	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	11760br6 47040bq5 4410t6 7350g6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1470p6

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 1470p6

-4	8	-3	5	-7
11760br6	47040bq5	4410t6	7350g6	210c6

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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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