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	14490bz	Isogeny class
Conductor	14490	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	12288	Modular degree for the optimal curve
Δ	-38872612800 = -1 · 26 · 38 · 52 · 7 · 232	Discriminant
Eigenvalues	2- 3- 5- 7-  0  0 -4 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-257,9681]	[a1,a2,a3,a4,a6]
Generators	[11:84:1]	Generators of the group modulo torsion
j	-2565726409/53323200	j-invariant
L	7.9815456728026	L(r)(E,1)/r!
Ω	0.96750736134058	Real period
R	0.68746640350651	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	115920eh1 4830d1 72450bd1 101430dp1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14490bz1

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

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Quadratic twists for elliptic curve 14490bz1

-4	-3	5	-7
115920eh1	4830d1	72450bd1	101430dp1

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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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