Cremona's table of elliptic curves

4823 = 7 · 13 · 53

Field	Data	Notes
Atkin-Lehner	7+ 13- 53-	Signs for the Atkin-Lehner involutions
Class	4823a	Isogeny class
Conductor	4823	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	-3323047 = -1 · 7 · 132 · 532	Discriminant
Eigenvalues	-1 -2  0 7+ -4 13- -2  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,7,88]	[a1,a2,a3,a4,a6]
Generators	[-3:8:1]	Generators of the group modulo torsion
j	37595375/3323047	j-invariant
L	1.3153944764239	L(r)(E,1)/r!
Ω	1.9234176521977	Real period
R	0.68388395776701	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	77168r1 43407g1 120575d1 33761b1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4823a1

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
-1	-2	0	+	-4	-	-2	2	4	-2	-6	2	4	4	0	-	-8	0	16	4	-4	-4	6	14	-2

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Quadratic twists for elliptic curve 4823a1

-4	-3	5	-7	13
77168r1	43407g1	120575d1	33761b1	62699i1

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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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