Cremona's table of elliptic curves

4120 = 2³ · 5 · 103

Field	Data	Notes
Atkin-Lehner	2+ 5- 103-	Signs for the Atkin-Lehner involutions
Class	4120c	Isogeny class
Conductor	4120	Conductor
∏ cp	14	Product of Tamagawa factors cp
deg	14560	Modular degree for the optimal curve
Δ	-8240000000 = -1 · 210 · 57 · 103	Discriminant
Eigenvalues	2+ -1 5-  0 -6  2 -2  7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-254080,49379900]	[a1,a2,a3,a4,a6]
Generators	[290:40:1]	Generators of the group modulo torsion
j	-1771482665596654084/8046875	j-invariant
L	3.04616582954	L(r)(E,1)/r!
Ω	0.88391280934978	Real period
R	0.24615920398148	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	8240c1 32960c1 37080p1 20600m1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4120c1

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	-	0	-6	2	-2	7	0	9	-2	6	-1	9	-9	3	-15	-7	-9	-6	-3	-1	-14	-2	-2

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Quadratic twists for elliptic curve 4120c1

-4	8	-3	5
8240c1	32960c1	37080p1	20600m1

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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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