Cremona's table of elliptic curves

120 = 2³ · 3 · 5

Field	Data	Notes
Atkin-Lehner	2- 3- 5-	Signs for the Atkin-Lehner involutions
Class	120a	Isogeny class
Conductor	120	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-2400000000 = -1 · 211 · 3 · 58	Discriminant
Eigenvalues	2- 3- 5-  0 -4  6 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-80,-2400]	[a1,a2,a3,a4,a6]
j	-27995042/1171875	j-invariant
L	1.2694942779633	L(r)(E,1)/r!
Ω	0.63474713898167	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	240a6 960b6 360a6 600a6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 120a6

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 120a6

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
240a6	960b6	360a6	600a6	5880u6	14520v6	20280k6	34680bc5	43320i5	63480p5	100920i5	115320q5

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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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