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	4940a	Isogeny class
Conductor	4940	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	4560	Modular degree for the optimal curve
Δ	-12875714800 = -1 · 24 · 52 · 13 · 195	Discriminant
Eigenvalues	2-  2 5+  2 -6 13+  7 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-666,-8359]	[a1,a2,a3,a4,a6]
j	-2044929535744/804732175	j-invariant
L	2.765215530335	L(r)(E,1)/r!
Ω	0.46086925505583	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	19760o1 79040bg1 44460n1 24700i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4940a1

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	+	2	-6	+	7	+	9	0	5	5	3	-3	4	-8	7	7	-1	-8	-10	14	6	10	7

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Quadratic twists for elliptic curve 4940a1

-4	8	-3	5	13	-19
19760o1	79040bg1	44460n1	24700i1	64220o1	93860h1

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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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