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	20184c	Isogeny class
Conductor	20184	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	3360	Modular degree for the optimal curve
Δ	-74923008 = -1 · 210 · 3 · 293	Discriminant
Eigenvalues	2+ 3+  0  0 -4  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-48,-420]	[a1,a2,a3,a4,a6]
j	-500/3	j-invariant
L	0.80986567098695	L(r)(E,1)/r!
Ω	0.80986567098695	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	40368q1 60552v1 20184p1	Quadratic twists by: -4 -3 29

Hecke Eigenvalues for elliptic curve 20184c1

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	0	-4	2	-2	-4	4	-	-2	-2	-2	-8	4	-4	6	2	8	-8	-4	2	6	-6	-16

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Quadratic twists for elliptic curve 20184c1

-4	-3	29
40368q1	60552v1	20184p1

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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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