Cremona's table of elliptic curves

1430 = 2 · 5 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2+ 5- 11+ 13+	Signs for the Atkin-Lehner involutions
Class	1430b	Isogeny class
Conductor	1430	Conductor
∏ cp	14	Product of Tamagawa factors cp
deg	51072	Modular degree for the optimal curve
Δ	-3.6753563365376E+20	Discriminant
Eigenvalues	2+ -1 5-  1 11+ 13+ -1  3	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-1069822,-1016405644]	[a1,a2,a3,a4,a6]
j	-135412551115258010417641/367535633653760000000	j-invariant
L	0.96462488693206	L(r)(E,1)/r!
Ω	0.068901777638004	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	11440q1 45760k1 12870bp1 7150q1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1430b1

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	-	1	+	+	-1	3	6	-1	-7	7	6	4	6	-5	-14	13	8	-5	10	2	-14	17	8

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Quadratic twists for elliptic curve 1430b1

-4	8	-3	5	-7	-11	13
11440q1	45760k1	12870bp1	7150q1	70070e1	15730ba1	18590l1

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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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