Cremona's table of elliptic curves

3360 = 2⁵ · 3 · 5 · 7

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 7+	Signs for the Atkin-Lehner involutions
Class	3360f	Isogeny class
Conductor	3360	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-8065516032000 = -1 · 212 · 38 · 53 · 74	Discriminant
Eigenvalues	2+ 3+ 5- 7+  4 -2 -2  8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-4625,-181023]	[a1,a2,a3,a4,a6]
j	-2671731885376/1969120125	j-invariant
L	1.6825987141939	L(r)(E,1)/r!
Ω	0.28043311903232	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	3360z4 6720r1 10080bn4 16800by4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3360f4

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

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Quadratic twists for elliptic curve 3360f4

-4	8	-3	5	-7
3360z4	6720r1	10080bn4	16800by4	23520r2

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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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