Cremona's table of elliptic curves

8184 = 2³ · 3 · 11 · 31

Field	Data	Notes
Atkin-Lehner	2+ 3- 11+ 31+	Signs for the Atkin-Lehner involutions
Class	8184g	Isogeny class
Conductor	8184	Conductor
∏ cp	40	Product of Tamagawa factors cp
Δ	3501066488832 = 210 · 35 · 114 · 312	Discriminant
Eigenvalues	2+ 3- -2 -4 11+ -2  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-4981864,-4281583648]	[a1,a2,a3,a4,a6]
j	13353633277691465771428/3419010243	j-invariant
L	1.0105355132555	L(r)(E,1)/r!
Ω	0.10105355132555	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	16368h4 65472g4 24552r4 90024bc4	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 8184g3

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

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Quadratic twists for elliptic curve 8184g3

-4	8	-3	-11
16368h4	65472g4	24552r4	90024bc4

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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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