Cremona's table of elliptic curves

483 = 3 · 7 · 23

Field	Data	Notes
Atkin-Lehner	3- 7+ 23+	Signs for the Atkin-Lehner involutions
Class	483a	Isogeny class
Conductor	483	Conductor
∏ cp	5	Product of Tamagawa factors cp
deg	300	Modular degree for the optimal curve
Δ	-20696067 = -1 · 35 · 7 · 233	Discriminant
Eigenvalues	2 3-  4 7+ -5 -2  0 -5	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-96,-457]	[a1,a2,a3,a4,a6]
j	-98867482624/20696067	j-invariant
L	3.7674424072317	L(r)(E,1)/r!
Ω	0.75348848144635	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	7728n1 30912b1 1449c1 12075m1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 483a1

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	+	-5	-2	0	-5	+	-2	6	6	5	8	-9	9	9	-5	4	12	0	-10	-18	10	-18

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Quadratic twists for elliptic curve 483a1

-4	8	-3	5	-7	-11	13	-23
7728n1	30912b1	1449c1	12075m1	3381c1	58443q1	81627x1	11109k1

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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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