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	360a	Isogeny class
Conductor	360	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-1749600000000 = -1 · 211 · 37 · 58	Discriminant
Eigenvalues	2+ 3- 5+  0  4  6  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-723,64078]	[a1,a2,a3,a4,a6]
j	-27995042/1171875	j-invariant
L	1.3930826875505	L(r)(E,1)/r!
Ω	0.69654134377527	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	720c6 2880s6 120a6 1800r6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 360a6

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

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Quadratic twists for elliptic curve 360a6

-4	8	-3	5	-7	-11	13	17	-19
720c6	2880s6	120a6	1800r6	17640be6	43560bt5	60840bs5	104040x5	129960cg5

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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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