Cremona's table of elliptic curves

14430 = 2 · 3 · 5 · 13 · 37

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 13+ 37-	Signs for the Atkin-Lehner involutions
Class	14430bp	Isogeny class
Conductor	14430	Conductor
∏ cp	672	Product of Tamagawa factors cp
Δ	24287352336000 = 27 · 38 · 53 · 132 · 372	Discriminant
Eigenvalues	2- 3- 5- -2 -6 13+  0  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-86145,9721737]	[a1,a2,a3,a4,a6]
Generators	[144:483:1]	Generators of the group modulo torsion
j	70699159901542945681/24287352336000	j-invariant
L	8.3193670529944	L(r)(E,1)/r!
Ω	0.66013530731759	Real period
R	0.075014987735364	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	115440ca2 43290m2 72150l2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 14430bp2

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	-6	+	0	4	-2	4	8	-	-6	-8	-6	10	-4	0	-8	-16	-8	-16	-8	2	10

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Quadratic twists for elliptic curve 14430bp2

-4	-3	5
115440ca2	43290m2	72150l2

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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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