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	4940c	Isogeny class
Conductor	4940	Conductor
∏ cp	15	Product of Tamagawa factors cp
deg	10440	Modular degree for the optimal curve
Δ	-64378574000 = -1 · 24 · 53 · 13 · 195	Discriminant
Eigenvalues	2- -3 5+ -3 -6 13+  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,872,-7127]	[a1,a2,a3,a4,a6]
Generators	[46:-361:1]	Generators of the group modulo torsion
j	4583035109376/4023660875	j-invariant
L	1.5178863379815	L(r)(E,1)/r!
Ω	0.60718662750863	Real period
R	0.16665785764634	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	19760m1 79040be1 44460p1 24700n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4940c1

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
-	-3	+	-3	-6	+	2	-	-6	10	5	10	-7	-8	-1	2	12	-3	14	7	-10	-6	1	15	-8

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Quadratic twists for elliptic curve 4940c1

-4	8	-3	5	13	-19
19760m1	79040be1	44460p1	24700n1	64220l1	93860j1

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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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