Cremona's table of elliptic curves

4920 = 2³ · 3 · 5 · 41

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 41-	Signs for the Atkin-Lehner involutions
Class	4920c	Isogeny class
Conductor	4920	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	-172160640000 = -1 · 210 · 38 · 54 · 41	Discriminant
Eigenvalues	2+ 3- 5-  0  4  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,200,20000]	[a1,a2,a3,a4,a6]
j	859687196/168125625	j-invariant
L	3.1408044167917	L(r)(E,1)/r!
Ω	0.78520110419792	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	9840d4 39360g3 14760n4 24600w3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4920c4

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	2	-2	4	-4	6	0	-2	-	0	8	10	-12	-2	12	0	10	-16	8	-6	-2

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Quadratic twists for elliptic curve 4920c4

-4	8	-3	5
9840d4	39360g3	14760n4	24600w3

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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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