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	14490bv	Isogeny class
Conductor	14490	Conductor
∏ cp	1200	Product of Tamagawa factors cp
deg	576000	Modular degree for the optimal curve
Δ	6.698963470123E+20	Discriminant
Eigenvalues	2- 3- 5- 7+  0 -2  0  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-2586677,-1006001971]	[a1,a2,a3,a4,a6]
Generators	[-753:23056:1]	Generators of the group modulo torsion
j	2625564132023811051529/918925030195200000	j-invariant
L	7.5038244510485	L(r)(E,1)/r!
Ω	0.12246545083129	Real period
R	0.20424330291014	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	115920er1 4830h1 72450bl1 101430eb1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14490bv1

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

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Quadratic twists for elliptic curve 14490bv1

-4	-3	5	-7
115920er1	4830h1	72450bl1	101430eb1

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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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