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	60984br	Isogeny class
Conductor	60984	Conductor
∏ cp	40	Product of Tamagawa factors cp
deg	53760	Modular degree for the optimal curve
Δ	-9663890544 = -1 · 24 · 33 · 75 · 113	Discriminant
Eigenvalues	2- 3+  3 7- 11+ -7 -2  1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,429,3267]	[a1,a2,a3,a4,a6]
Generators	[33:231:1]	Generators of the group modulo torsion
j	15185664/16807	j-invariant
L	7.5841392595151	L(r)(E,1)/r!
Ω	0.8590151659032	Real period
R	0.22072192554223	Regulator
r	1	Rank of the group of rational points
S	0.99999999999865	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	121968c1 60984i1 60984b1	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 60984br1

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	-	+	-7	-2	1	-6	7	-10	-7	6	8	13	10	9	6	1	-6	-13	-8	18	-2	-12

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Quadratic twists for elliptic curve 60984br1

-4	-3	-11
121968c1	60984i1	60984b1

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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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