Cremona's table of elliptic curves

4940 = 2² · 5 · 13 · 19

Field	Data	Notes
Atkin-Lehner	2- 5- 13- 19-	Signs for the Atkin-Lehner involutions
Class	4940h	Isogeny class
Conductor	4940	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	264	Modular degree for the optimal curve
Δ	-19760 = -1 · 24 · 5 · 13 · 19	Discriminant
Eigenvalues	2- -1 5-  3  2 13- -2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-5,10]	[a1,a2,a3,a4,a6]
Generators	[2:2:1]	Generators of the group modulo torsion
j	-1048576/1235	j-invariant
L	3.70016747059	L(r)(E,1)/r!
Ω	3.4880435361289	Real period
R	1.0608145891139	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	19760x1 79040a1 44460l1 24700a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4940h1

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	-	3	2	-	-2	-	-6	-6	-7	-10	-3	-8	9	-2	-4	5	-6	3	2	6	-1	-5	-8

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Quadratic twists for elliptic curve 4940h1

-4	8	-3	5	13	-19
19760x1	79040a1	44460l1	24700a1	64220b1	93860l1

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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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