Cremona's table of elliptic curves

14910 = 2 · 3 · 5 · 7 · 71

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7- 71+	Signs for the Atkin-Lehner involutions
Class	14910bd	Isogeny class
Conductor	14910	Conductor
∏ cp	81	Product of Tamagawa factors cp
deg	23328	Modular degree for the optimal curve
Δ	-479340099000 = -1 · 23 · 39 · 53 · 73 · 71	Discriminant
Eigenvalues	2- 3- 5+ 7-  0  5  3 -1	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,1774,16956]	[a1,a2,a3,a4,a6]
j	617403742697951/479340099000	j-invariant
L	5.394035126812	L(r)(E,1)/r!
Ω	0.59933723631244	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	119280ba1 44730x1 74550d1 104370co1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14910bd1

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
-	-	+	-	0	5	3	-1	6	9	-1	2	6	5	-12	-6	-3	-4	-4	+	-10	-1	-3	-9	14

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Quadratic twists for elliptic curve 14910bd1

-4	-3	5	-7
119280ba1	44730x1	74550d1	104370co1

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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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