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	1470d	Isogeny class
Conductor	1470	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-180708864000 = -1 · 212 · 3 · 53 · 76	Discriminant
Eigenvalues	2+ 3+ 5- 7-  0 -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-662,21204]	[a1,a2,a3,a4,a6]
Generators	[13:116:1]	Generators of the group modulo torsion
j	-273359449/1536000	j-invariant
L	1.8988268001151	L(r)(E,1)/r!
Ω	0.87566212778175	Real period
R	0.72281562331401	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	11760cp3 47040cg3 4410bb3 7350cj3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1470d3

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	-8	2	6	-4	0	-6	0	10	-4	0	-2	8	-12	-18	-2

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Quadratic twists for elliptic curve 1470d3

-4	8	-3	5	-7
11760cp3	47040cg3	4410bb3	7350cj3	30a3

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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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