Cremona's table of elliptic curves

4944 = 2⁴ · 3 · 103

Field	Data	Notes
Atkin-Lehner	2- 3+ 103+	Signs for the Atkin-Lehner involutions
Class	4944c	Isogeny class
Conductor	4944	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1560	Modular degree for the optimal curve
Δ	-41247792 = -1 · 24 · 35 · 1032	Discriminant
Eigenvalues	2- 3+  0 -4 -4  6 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,47,268]	[a1,a2,a3,a4,a6]
j	702464000/2577987	j-invariant
L	0.72379633119868	L(r)(E,1)/r!
Ω	1.4475926623974	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	1236c1 19776bb1 14832g1 123600cl1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4944c1

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	-4	6	-6	0	6	-2	0	-10	6	-12	4	4	-6	10	-4	-8	-10	8	6	-8	2

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Quadratic twists for elliptic curve 4944c1

-4	8	-3	5
1236c1	19776bb1	14832g1	123600cl1

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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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