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	336	Product of Tamagawa factors cp
deg	43008	Modular degree for the optimal curve
Δ	9974016000000 = 214 · 34 · 56 · 13 · 37	Discriminant
Eigenvalues	2- 3- 5- -2 -6 13+  0  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-6145,105737]	[a1,a2,a3,a4,a6]
Generators	[74:-277:1]	Generators of the group modulo torsion
j	25662194421025681/9974016000000	j-invariant
L	8.3193670529944	L(r)(E,1)/r!
Ω	0.66013530731759	Real period
R	0.15002997547073	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	115440ca1 43290m1 72150l1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 14430bp1

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 14430bp1

-4	-3	5
115440ca1	43290m1	72150l1

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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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