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	4	Product of Tamagawa factors cp
Δ	604661760 = 211 · 310 · 5	Discriminant
Eigenvalues	2- 3- 5-  4  0 -6  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1947,33046]	[a1,a2,a3,a4,a6]
j	546718898/405	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	2	Number of elements in the torsion subgroup
Twists	720e3 2880l4 120b3 1800h4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 360d4

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 360d4

-4	8	-3	5	-7	-11	13	17	-19
720e3	2880l4	120b3	1800h4	17640ca3	43560bf4	60840r4	104040cl4	129960bk4

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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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