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	3360d	Isogeny class
Conductor	3360	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	512	Modular degree for the optimal curve
Δ	705600 = 26 · 32 · 52 · 72	Discriminant
Eigenvalues	2+ 3+ 5+ 7+ -4  6 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-26,-24]	[a1,a2,a3,a4,a6]
Generators	[-2:4:1]	Generators of the group modulo torsion
j	31554496/11025	j-invariant
L	2.6895047136659	L(r)(E,1)/r!
Ω	2.1679177255896	Real period
R	1.2405935344868	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	3360t1 6720z2 10080bx1 16800ca1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3360d1

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	-2	4	0	-6	-8	6	6	8	-4	-2	0	10	-8	0	-10	4	4	-10	-18

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Quadratic twists for elliptic curve 3360d1

-4	8	-3	5	-7
3360t1	6720z2	10080bx1	16800ca1	23520y1

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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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