Cremona's table of elliptic curves

1680 = 2⁴ · 3 · 5 · 7

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 7-	Signs for the Atkin-Lehner involutions
Class	1680p	Isogeny class
Conductor	1680	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	-2.0418312541963E+19	Discriminant
Eigenvalues	2- 3+ 5- 7-  4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1908800,1038710400]	[a1,a2,a3,a4,a6]
j	-187778242790732059201/4984939585440150	j-invariant
L	1.723611497434	L(r)(E,1)/r!
Ω	0.21545143717925	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	210e8 6720cd8 5040bi8 8400cc8	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1680p8

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

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Quadratic twists for elliptic curve 1680p8

-4	8	-3	5	-7
210e8	6720cd8	5040bi8	8400cc8	11760ch8

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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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