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	4	Product of Tamagawa factors cp
Δ	111974400 = 211 · 37 · 52	Discriminant
Eigenvalues	2+ 3- 5+  0  4  6  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-28803,1881502]	[a1,a2,a3,a4,a6]
j	1770025017602/75	j-invariant
L	1.3930826875505	L(r)(E,1)/r!
Ω	1.3930826875505	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	720c5 2880s5 120a5 1800r5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 360a5

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 360a5

-4	8	-3	5	-7	-11	13	17	-19
720c5	2880s5	120a5	1800r5	17640be5	43560bt6	60840bs6	104040x6	129960cg6

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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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