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	12120g	Isogeny class
Conductor	12120	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	2112	Modular degree for the optimal curve
Δ	-1551360 = -1 · 210 · 3 · 5 · 101	Discriminant
Eigenvalues	2+ 3+ 5- -3 -5  0  5  5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,0,60]	[a1,a2,a3,a4,a6]
Generators	[2:8:1]	Generators of the group modulo torsion
j	-4/1515	j-invariant
L	3.4906781157328	L(r)(E,1)/r!
Ω	2.1312015351497	Real period
R	0.81894604010024	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	24240p1 96960bc1 36360p1 60600bj1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 12120g1

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
+	+	-	-3	-5	0	5	5	-7	2	9	-8	5	-8	1	6	-4	-6	-13	6	11	11	0	-5	2

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Quadratic twists for elliptic curve 12120g1

-4	8	-3	5
24240p1	96960bc1	36360p1	60600bj1

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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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