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	2184h	Isogeny class
Conductor	2184	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	52835328 = 210 · 34 · 72 · 13	Discriminant
Eigenvalues	2- 3+  2 7+  0 13- -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-13592,-605412]	[a1,a2,a3,a4,a6]
Generators	[158:1080:1]	Generators of the group modulo torsion
j	271210066309732/51597	j-invariant
L	2.8984849664269	L(r)(E,1)/r!
Ω	0.44215654245233	Real period
R	3.277668300859	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	4368m4 17472w3 6552h4 54600x4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2184h3

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	+	0	-	-6	-4	0	-2	-8	6	6	4	-12	-2	0	-2	-12	4	10	-16	0	-2	2

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Quadratic twists for elliptic curve 2184h3

-4	8	-3	5	-7	13
4368m4	17472w3	6552h4	54600x4	15288bd4	28392g4

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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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