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	14430w	Isogeny class
Conductor	14430	Conductor
∏ cp	216	Product of Tamagawa factors cp
deg	55296	Modular degree for the optimal curve
Δ	-263661135689250 = -1 · 2 · 36 · 53 · 134 · 373	Discriminant
Eigenvalues	2+ 3- 5- -1  3 13- -3  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-24978,1706398]	[a1,a2,a3,a4,a6]
Generators	[-178:810:1]	Generators of the group modulo torsion
j	-1723342910011383961/263661135689250	j-invariant
L	4.7255927739457	L(r)(E,1)/r!
Ω	0.53278025119864	Real period
R	0.36957019047051	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	115440ce1 43290bm1 72150bp1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 14430w1

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
+	-	-	-1	3	-	-3	2	0	3	-7	-	-3	-7	0	-9	-6	-7	8	-12	-4	-4	-6	-6	-7

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Quadratic twists for elliptic curve 14430w1

-4	-3	5
115440ce1	43290bm1	72150bp1

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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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