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	14910g	Isogeny class
Conductor	14910	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	7.7164383316644E+19	Discriminant
Eigenvalues	2+ 3+ 5- 7-  2  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-5724217,-5256770651]	[a1,a2,a3,a4,a6]
Generators	[8985:813293:1]	Generators of the group modulo torsion
j	20743025346748276063332121/77164383316644126720	j-invariant
L	3.5163659975581	L(r)(E,1)/r!
Ω	0.097626492536735	Real period
R	6.0030938771306	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	119280cg2 44730bp2 74550cw2 104370bf2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14910g2

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
+	+	-	-	2	2	-2	-4	2	2	6	-2	-8	-4	2	0	-10	-8	-2	+	-10	-12	4	10	0

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Quadratic twists for elliptic curve 14910g2

-4	-3	5	-7
119280cg2	44730bp2	74550cw2	104370bf2

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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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