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	14430ba	Isogeny class
Conductor	14430	Conductor
∏ cp	200	Product of Tamagawa factors cp
Δ	-12820604062500000 = -1 · 25 · 38 · 510 · 132 · 37	Discriminant
Eigenvalues	2- 3+ 5- -4  0 13+  4 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-62240,8060897]	[a1,a2,a3,a4,a6]
Generators	[107:1571:1]	Generators of the group modulo torsion
j	-26664466585671221761/12820604062500000	j-invariant
L	5.7352703132361	L(r)(E,1)/r!
Ω	0.37250579395182	Real period
R	0.30792918694725	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	115440cz2 43290i2 72150bi2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 14430ba2

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

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Quadratic twists for elliptic curve 14430ba2

-4	-3	5
115440cz2	43290i2	72150bi2

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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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