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	1470m	Isogeny class
Conductor	1470	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-1596016683105468750 = -1 · 2 · 34 · 512 · 79	Discriminant
Eigenvalues	2- 3+ 5- 7-  0 -2  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,35720,60741575]	[a1,a2,a3,a4,a6]
j	42841933504271/13565917968750	j-invariant
L	2.4854608258679	L(r)(E,1)/r!
Ω	0.207121735489	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	11760co8 47040cf7 4410h8 7350w8	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1470m8

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

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Quadratic twists for elliptic curve 1470m8

-4	8	-3	5	-7
11760co8	47040cf7	4410h8	7350w8	210a8

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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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