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	48	Product of Tamagawa factors cp
deg	3072	Modular degree for the optimal curve
Δ	3969000000 = 26 · 34 · 56 · 72	Discriminant
Eigenvalues	2+ 3+ 5- 7+  4 -2 -2  8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-5250,-144648]	[a1,a2,a3,a4,a6]
j	250094631024064/62015625	j-invariant
L	1.6825987141939	L(r)(E,1)/r!
Ω	0.56086623806464	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	3360z1 6720r2 10080bn1 16800by1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3360f1

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 3360f1

-4	8	-3	5	-7
3360z1	6720r2	10080bn1	16800by1	23520r1

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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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