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	3360q	Isogeny class
Conductor	3360	Conductor
∏ cp	64	Product of Tamagawa factors cp
deg	107520	Modular degree for the optimal curve
Δ	5859137025000000 = 26 · 314 · 58 · 72	Discriminant
Eigenvalues	2- 3+ 5- 7- -4 -6  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-6378750,6202979352]	[a1,a2,a3,a4,a6]
j	448487713888272974160064/91549016015625	j-invariant
L	1.3493965215576	L(r)(E,1)/r!
Ω	0.33734913038941	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	3360x1 6720cb2 10080t1 16800r1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3360q1

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	-6	6	-4	-4	-2	8	6	6	8	0	6	-4	10	8	12	-14	-16	-12	14	18

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Quadratic twists for elliptic curve 3360q1

-4	8	-3	5	-7
3360x1	6720cb2	10080t1	16800r1	23520br1

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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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