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	12120d	Isogeny class
Conductor	12120	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	79918387968000 = 211 · 3 · 53 · 1014	Discriminant
Eigenvalues	2+ 3+ 5-  0  0  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-19400,-940500]	[a1,a2,a3,a4,a6]
Generators	[-95:190:1]	Generators of the group modulo torsion
j	394295059789202/39022650375	j-invariant
L	4.3163797594824	L(r)(E,1)/r!
Ω	0.40710351150199	Real period
R	3.534219707053	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	24240m4 96960v4 36360k4 60600bc4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 12120d3

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	0	2	-2	4	-4	6	-8	10	-10	-8	-12	10	8	-6	-4	8	-2	-8	4	-10	2

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Quadratic twists for elliptic curve 12120d3

-4	8	-3	5
24240m4	96960v4	36360k4	60600bc4

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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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