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	3360n	Isogeny class
Conductor	3360	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	1024	Modular degree for the optimal curve
Δ	158760000 = 26 · 34 · 54 · 72	Discriminant
Eigenvalues	2- 3+ 5+ 7-  0  2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-166,616]	[a1,a2,a3,a4,a6]
Generators	[-5:36:1]	Generators of the group modulo torsion
j	7952095936/2480625	j-invariant
L	2.8812686550519	L(r)(E,1)/r!
Ω	1.6847586560422	Real period
R	1.7101966769653	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	3360s1 6720ck2 10080z1 16800n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3360n1

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
-	+	+	-	0	2	-6	4	-8	-2	8	-2	-6	0	0	6	4	-6	8	0	-14	-8	4	2	-14

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Quadratic twists for elliptic curve 3360n1

-4	8	-3	5	-7
3360s1	6720ck2	10080z1	16800n1	23520bw1

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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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