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	3360l	Isogeny class
Conductor	3360	Conductor
∏ cp	144	Product of Tamagawa factors cp
Δ	-18289152000 = -1 · 212 · 36 · 53 · 72	Discriminant
Eigenvalues	2+ 3- 5- 7+  2 -4 -2 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,415,5775]	[a1,a2,a3,a4,a6]
Generators	[-5:60:1]	Generators of the group modulo torsion
j	1925134784/4465125	j-invariant
L	4.1636399855027	L(r)(E,1)/r!
Ω	0.85328140179651	Real period
R	0.13554340457961	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	3360h2 6720be1 10080bl2 16800bh2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3360l2

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	-4	-2	-6	-4	-10	2	-2	-10	4	-8	4	4	-2	4	6	0	-4	-4	-6	4

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Quadratic twists for elliptic curve 3360l2

-4	8	-3	5	-7
3360h2	6720be1	10080bl2	16800bh2	23520b2

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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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