Cremona's table of elliptic curves

180 = 2² · 3² · 5

Field	Data	Notes
Atkin-Lehner	2- 3- 5-	Signs for the Atkin-Lehner involutions
Class	180a	Isogeny class
Conductor	180	Conductor
∏ cp	36	Product of Tamagawa factors cp
Δ	-2916000000 = -1 · 28 · 36 · 56	Discriminant
Eigenvalues	2- 3- 5-  2  0  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-327,3454]	[a1,a2,a3,a4,a6]
j	-20720464/15625	j-invariant
L	1.312989889848	L(r)(E,1)/r!
Ω	1.312989889848	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	720i4 2880i4 20a3 900e4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 180a4

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

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Quadratic twists for elliptic curve 180a4

-4	8	-3	5	-7	-11	13	17	-19	-23
720i4	2880i4	20a3	900e4	8820j4	21780y4	30420j4	52020t4	64980bh4	95220l4

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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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