Cremona's table of elliptic curves

4452 = 2² · 3 · 7 · 53

Field	Data	Notes
Atkin-Lehner	2- 3+ 7+ 53+	Signs for the Atkin-Lehner involutions
Class	4452a	Isogeny class
Conductor	4452	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1728	Modular degree for the optimal curve
Δ	897897168 = 24 · 32 · 76 · 53	Discriminant
Eigenvalues	2- 3+  0 7+ -4  6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-273,-882]	[a1,a2,a3,a4,a6]
j	141150208000/56118573	j-invariant
L	1.2150760407244	L(r)(E,1)/r!
Ω	1.2150760407244	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	17808v1 71232bb1 13356c1 111300s1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4452a1

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

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Quadratic twists for elliptic curve 4452a1

-4	8	-3	5	-7
17808v1	71232bb1	13356c1	111300s1	31164k1

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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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