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	360c	Isogeny class
Conductor	360	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	1007769600 = 211 · 39 · 52	Discriminant
Eigenvalues	2+ 3+ 5-  2 -2  4  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1107,14094]	[a1,a2,a3,a4,a6]
j	3721734/25	j-invariant
L	1.5689797603134	L(r)(E,1)/r!
Ω	1.5689797603134	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	720b2 2880a2 360b2 1800n2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 360c2

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

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Quadratic twists for elliptic curve 360c2

-4	8	-3	5	-7	-11	13	17	-19
720b2	2880a2	360b2	1800n2	17640d2	43560bm2	60840bf2	104040b2	129960bs2

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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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