Cremona's table of elliptic curves

360 = 2³ · 3² · 5

Field	Data	Notes
Atkin-Lehner	2- 3- 5-	Signs for the Atkin-Lehner involutions
Class	360d	Isogeny class
Conductor	360	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	64	Modular degree for the optimal curve
Δ	-2799360 = -1 · 28 · 37 · 5	Discriminant
Eigenvalues	2- 3- 5-  4  0 -6  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,33,34]	[a1,a2,a3,a4,a6]
j	21296/15	j-invariant
L	1.6146507704814	L(r)(E,1)/r!
Ω	1.6146507704814	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	720e1 2880l1 120b1 1800h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 360d1

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

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Quadratic twists for elliptic curve 360d1

-4	8	-3	5	-7	-11	13	17	-19
720e1	2880l1	120b1	1800h1	17640ca1	43560bf1	60840r1	104040cl1	129960bk1

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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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