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	2	Product of Tamagawa factors cp
deg	12	Modular degree for the optimal curve
Δ	58320 = 24 · 36 · 5	Discriminant
Eigenvalues	2- 3- 5-  2  0  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-12,-11]	[a1,a2,a3,a4,a6]
j	16384/5	j-invariant
L	1.312989889848	L(r)(E,1)/r!
Ω	2.6259797796961	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	720i1 2880i1 20a2 900e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 180a1

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 180a1

-4	8	-3	5	-7	-11	13	17	-19	-23
720i1	2880i1	20a2	900e1	8820j1	21780y1	30420j1	52020t1	64980bh1	95220l1

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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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