Cremona's table of elliptic curves

4081 = 7 · 11 · 53

Field	Data	Notes
Atkin-Lehner	7+ 11- 53+	Signs for the Atkin-Lehner involutions
Class	4081c	Isogeny class
Conductor	4081	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	1632	Modular degree for the optimal curve
Δ	-183200171 = -1 · 72 · 113 · 532	Discriminant
Eigenvalues	-2 -1 -3 7+ 11- -2 -4  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,98,502]	[a1,a2,a3,a4,a6]
Generators	[2:26:1] [7:38:1]	Generators of the group modulo torsion
j	103029788672/183200171	j-invariant
L	1.8681148724297	L(r)(E,1)/r!
Ω	1.2344630445076	Real period
R	0.12610846477903	Regulator
r	2	Rank of the group of rational points
S	0.99999999999893	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	65296t1 36729n1 102025g1 28567f1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4081c1

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

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Quadratic twists for elliptic curve 4081c1

-4	-3	5	-7	-11
65296t1	36729n1	102025g1	28567f1	44891j1

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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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