Cremona's table of elliptic curves

12120 = 2³ · 3 · 5 · 101

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 101+	Signs for the Atkin-Lehner involutions
Class	12120a	Isogeny class
Conductor	12120	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	3584	Modular degree for the optimal curve
Δ	10471680 = 28 · 34 · 5 · 101	Discriminant
Eigenvalues	2+ 3+ 5+ -4 -6 -2  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-156,-684]	[a1,a2,a3,a4,a6]
Generators	[-7:4:1]	Generators of the group modulo torsion
j	1650587344/40905	j-invariant
L	2.4545383177185	L(r)(E,1)/r!
Ω	1.3522058080823	Real period
R	1.8152106011138	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	24240i1 96960br1 36360w1 60600ba1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 12120a1

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
+	+	+	-4	-6	-2	6	0	-2	2	0	6	6	-2	-6	-6	6	-10	16	0	6	-4	-4	14	10

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Quadratic twists for elliptic curve 12120a1

-4	8	-3	5
24240i1	96960br1	36360w1	60600ba1

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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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