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	14910n	Isogeny class
Conductor	14910	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-189067328272494000 = -1 · 24 · 312 · 53 · 7 · 714	Discriminant
Eigenvalues	2+ 3- 5+ 7+  4  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1894,-20920408]	[a1,a2,a3,a4,a6]
j	-750816789265369/189067328272494000	j-invariant
L	1.7512180810478	L(r)(E,1)/r!
Ω	0.14593484008731	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	119280bh3 44730cd3 74550cd3 104370r3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14910n4

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
+	-	+	+	4	2	-2	4	-4	-2	-4	-2	2	-8	8	6	4	-14	4	+	14	0	12	6	14

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Quadratic twists for elliptic curve 14910n4

-4	-3	5	-7
119280bh3	44730cd3	74550cd3	104370r3

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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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