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	14430bf	Isogeny class
Conductor	14430	Conductor
∏ cp	96	Product of Tamagawa factors cp
deg	27648	Modular degree for the optimal curve
Δ	194781450240 = 212 · 32 · 5 · 134 · 37	Discriminant
Eigenvalues	2- 3+ 5-  0 -4 13-  2  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-3640,-83335]	[a1,a2,a3,a4,a6]
Generators	[-31:45:1]	Generators of the group modulo torsion
j	5333782719807361/194781450240	j-invariant
L	6.5023632022816	L(r)(E,1)/r!
Ω	0.616024475022	Real period
R	1.7592275052733	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	115440di1 43290r1 72150y1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 14430bf1

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	-4	-	2	8	-8	-6	-8	-	-6	12	8	-6	-8	10	8	-8	-2	-12	-16	-10	2

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Quadratic twists for elliptic curve 14430bf1

-4	-3	5
115440di1	43290r1	72150y1

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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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