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	14910i	Isogeny class
Conductor	14910	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	3456	Modular degree for the optimal curve
Δ	8767080 = 23 · 32 · 5 · 73 · 71	Discriminant
Eigenvalues	2+ 3+ 5- 7-  3  1  4 -5	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-52,-56]	[a1,a2,a3,a4,a6]
Generators	[-5:13:1]	Generators of the group modulo torsion
j	16022066761/8767080	j-invariant
L	3.555280584074	L(r)(E,1)/r!
Ω	1.8944122584546	Real period
R	0.31278659719808	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	119280cl1 44730bv1 74550cx1 104370bg1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14910i1

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	1	4	-5	-5	-4	3	-7	-3	5	-4	4	10	0	8	+	3	-11	-6	-14	-2

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Quadratic twists for elliptic curve 14910i1

-4	-3	5	-7
119280cl1	44730bv1	74550cx1	104370bg1

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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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