Cremona's table of elliptic curves

60984 = 2³ · 3² · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 11-	Signs for the Atkin-Lehner involutions
Class	60984bg	Isogeny class
Conductor	60984	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	92160	Modular degree for the optimal curve
Δ	1882145776896 = 28 · 311 · 73 · 112	Discriminant
Eigenvalues	2+ 3- -1 7- 11- -6 -3 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-3828,-62876]	[a1,a2,a3,a4,a6]
Generators	[-46:126:1] [-40:162:1]	Generators of the group modulo torsion
j	274717696/83349	j-invariant
L	9.6136193913226	L(r)(E,1)/r!
Ω	0.62124800807201	Real period
R	0.32238934325265	Regulator
r	2	Rank of the group of rational points
S	0.99999999999932	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	121968bi1 20328ba1 60984bw1	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 60984bg1

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
+	-	-1	-	-	-6	-3	-4	-6	0	-6	-6	-10	11	9	12	-7	2	-9	2	-2	4	-3	-15	-4

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Quadratic twists for elliptic curve 60984bg1

-4	-3	-11
121968bi1	20328ba1	60984bw1

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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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