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	4	Product of Tamagawa factors cp
deg	8	Modular degree for the optimal curve
Δ	720 = 24 · 32 · 5	Discriminant
Eigenvalues	2- 3- 5-  0 -4  6 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-15,18]	[a1,a2,a3,a4,a6]
j	24918016/45	j-invariant
L	1.2694942779633	L(r)(E,1)/r!
Ω	5.0779771118533	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	240a1 960b1 360a1 600a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 120a1

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 120a1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
240a1	960b1	360a1	600a1	5880u1	14520v1	20280k1	34680bc1	43320i1	63480p1	100920i1	115320q1

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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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