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	14490bq	Isogeny class
Conductor	14490	Conductor
∏ cp	432	Product of Tamagawa factors cp
Δ	1001775738438720 = 26 · 37 · 5 · 76 · 233	Discriminant
Eigenvalues	2- 3- 5+ 7-  0  2  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-25988,536807]	[a1,a2,a3,a4,a6]
Generators	[-63:1417:1]	Generators of the group modulo torsion
j	2662558086295801/1374177967680	j-invariant
L	7.1827945004186	L(r)(E,1)/r!
Ω	0.43497415062121	Real period
R	1.3760960450486	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	115920ct3 4830o3 72450u3 101430fc3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14490bq3

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	0	-4	-	0	-4	2	-12	-4	-12	0	-12	14	-4	12	-4	8	0	-6	-10

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Quadratic twists for elliptic curve 14490bq3

-4	-3	5	-7
115920ct3	4830o3	72450u3	101430fc3

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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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