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	1470j	Isogeny class
Conductor	1470	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	240	Modular degree for the optimal curve
Δ	-70560 = -1 · 25 · 32 · 5 · 72	Discriminant
Eigenvalues	2- 3+ 5+ 7- -1 -7  4 -1	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-36,69]	[a1,a2,a3,a4,a6]
Generators	[1:5:1]	Generators of the group modulo torsion
j	-105484561/1440	j-invariant
L	3.2335739002322	L(r)(E,1)/r!
Ω	3.4745760259858	Real period
R	0.093063840769314	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	11760cf1 47040dg1 4410p1 7350x1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1470j1

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
-	+	+	-	-1	-7	4	-1	1	-8	-6	-3	-9	-4	3	-1	-12	4	12	-14	14	4	-12	2	16

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Quadratic twists for elliptic curve 1470j1

-4	8	-3	5	-7
11760cf1	47040dg1	4410p1	7350x1	1470r1

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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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