Cremona's table of elliptic curves

14490 = 2 · 3² · 5 · 7 · 23

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 7- 23-	Signs for the Atkin-Lehner involutions
Class	14490bb	Isogeny class
Conductor	14490	Conductor
∏ cp	1152	Product of Tamagawa factors cp
Δ	9.1393602603436E+28	Discriminant
Eigenvalues	2+ 3- 5- 7-  0  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-2285091144,39448430519400]	[a1,a2,a3,a4,a6]
Generators	[18921:1718472:1]	Generators of the group modulo torsion
j	1810117493172631097464564372609/125368453502655029296875000	j-invariant
L	3.8671717329613	L(r)(E,1)/r!
Ω	0.033242078888011	Real period
R	3.6354259630443	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	115920dy8 4830bc7 72450df8 101430bi8	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14490bb7

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

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Quadratic twists for elliptic curve 14490bb7

-4	-3	5	-7
115920dy8	4830bc7	72450df8	101430bi8

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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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