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	1470n	Isogeny class
Conductor	1470	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	192	Modular degree for the optimal curve
Δ	185220 = 22 · 33 · 5 · 73	Discriminant
Eigenvalues	2- 3+ 5- 7-  2  2 -4  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-15,-15]	[a1,a2,a3,a4,a6]
j	1092727/540	j-invariant
L	2.551067624959	L(r)(E,1)/r!
Ω	2.551067624959	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	11760cq1 47040cj1 4410j1 7350z1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1470n1

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
-	+	-	-	2	2	-4	0	8	0	-2	8	-2	-2	10	-2	4	-10	2	-12	10	16	16	14	6

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Quadratic twists for elliptic curve 1470n1

-4	8	-3	5	-7
11760cq1	47040cj1	4410j1	7350z1	1470o1

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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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