Cremona's table of elliptic curves

4161 = 3 · 19 · 73

Field	Data	Notes
Atkin-Lehner	3- 19+ 73+	Signs for the Atkin-Lehner involutions
Class	4161d	Isogeny class
Conductor	4161	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-232903374258771 = -1 · 34 · 19 · 736	Discriminant
Eigenvalues	1 3- -2  0  0  0  6 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,103,-734245]	[a1,a2,a3,a4,a6]
j	122541299063/232903374258771	j-invariant
L	2.0482344096026	L(r)(E,1)/r!
Ω	0.25602930120032	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	66576s2 12483f2 104025c2 79059d2	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 4161d2

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	-	-2	0	0	0	6	+	-8	8	-10	2	-2	8	12	12	6	10	8	-12	+	12	-8	-14	10

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Quadratic twists for elliptic curve 4161d2

-4	-3	5	-19
66576s2	12483f2	104025c2	79059d2

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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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