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	32	Product of Tamagawa factors cp
Δ	518400 = 28 · 34 · 52	Discriminant
Eigenvalues	2- 3- 5-  0 -4  6 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-20,0]	[a1,a2,a3,a4,a6]
j	3631696/2025	j-invariant
L	1.2694942779633	L(r)(E,1)/r!
Ω	2.5389885559267	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	240a2 960b2 360a2 600a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 120a2

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 120a2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
240a2	960b2	360a2	600a2	5880u2	14520v2	20280k2	34680bc2	43320i2	63480p2	100920i2	115320q2

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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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