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	1430a	Isogeny class
Conductor	1430	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	224	Modular degree for the optimal curve
Δ	-1189760 = -1 · 27 · 5 · 11 · 132	Discriminant
Eigenvalues	2+ -1 5+ -1 11- 13-  5  3	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,27,13]	[a1,a2,a3,a4,a6]
Generators	[1:6:1]	Generators of the group modulo torsion
j	2053225511/1189760	j-invariant
L	1.6307943596228	L(r)(E,1)/r!
Ω	1.6423122395344	Real period
R	0.49649339521608	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	11440h1 45760n1 12870cc1 7150t1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1430a1

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	-	-	5	3	4	-9	-11	7	0	-10	4	-3	10	-11	-4	-1	10	-4	-6	-9	-12

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Quadratic twists for elliptic curve 1430a1

-4	8	-3	5	-7	-11	13
11440h1	45760n1	12870cc1	7150t1	70070u1	15730s1	18590o1

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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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