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	3360m	Isogeny class
Conductor	3360	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	512	Modular degree for the optimal curve
Δ	6350400 = 26 · 34 · 52 · 72	Discriminant
Eigenvalues	2+ 3- 5- 7+ -4 -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-50,48]	[a1,a2,a3,a4,a6]
Generators	[-2:12:1]	Generators of the group modulo torsion
j	220348864/99225	j-invariant
L	4.0664701697083	L(r)(E,1)/r!
Ω	2.1367833247632	Real period
R	0.95154013104231	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	3360o1 6720d2 10080bm1 16800bi1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3360m1

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

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Quadratic twists for elliptic curve 3360m1

-4	8	-3	5	-7
3360o1	6720d2	10080bm1	16800bi1	23520d1

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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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