Cremona's table of elliptic curves

2184 = 2³ · 3 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 13-	Signs for the Atkin-Lehner involutions
Class	2184j	Isogeny class
Conductor	2184	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	2304	Modular degree for the optimal curve
Δ	-420876591408 = -1 · 24 · 33 · 78 · 132	Discriminant
Eigenvalues	2- 3+ -2 7- -4 13- -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,721,-30552]	[a1,a2,a3,a4,a6]
j	2587063175168/26304786963	j-invariant
L	0.93116173316074	L(r)(E,1)/r!
Ω	0.46558086658037	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	4368k1 17472bh1 6552m1 54600u1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2184j1

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
-	+	-2	-	-4	-	-6	4	0	6	0	6	-6	4	0	-2	4	-2	4	0	-6	8	12	10	-14

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Quadratic twists for elliptic curve 2184j1

-4	8	-3	5	-7	13
4368k1	17472bh1	6552m1	54600u1	15288bc1	28392b1

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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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