Cremona's table of elliptic curves

20184 = 2³ · 3 · 29²

Field	Data	Notes
Atkin-Lehner	2- 3+ 29+	Signs for the Atkin-Lehner involutions
Class	20184m	Isogeny class
Conductor	20184	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	67200	Modular degree for the optimal curve
Δ	-67067519089392 = -1 · 24 · 35 · 297	Discriminant
Eigenvalues	2- 3+  0 -5  5  1  3  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,9812,120481]	[a1,a2,a3,a4,a6]
j	10976000/7047	j-invariant
L	1.5422451363451	L(r)(E,1)/r!
Ω	0.38556128408628	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	40368m1 60552g1 696c1	Quadratic twists by: -4 -3 29

Hecke Eigenvalues for elliptic curve 20184m1

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
-	+	0	-5	5	1	3	4	2	+	-2	-2	6	8	-7	12	6	6	-15	2	10	4	-6	-3	-8

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Quadratic twists for elliptic curve 20184m1

-4	-3	29
40368m1	60552g1	696c1

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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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