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	1430d	Isogeny class
Conductor	1430	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-1020142489034240 = -1 · 29 · 5 · 119 · 132	Discriminant
Eigenvalues	2+  1 5- -1 11+ 13- -3 -7	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-93288,-11081802]	[a1,a2,a3,a4,a6]
Generators	[105522:1620205:216]	Generators of the group modulo torsion
j	-89783052551043953401/1020142489034240	j-invariant
L	2.4026841474258	L(r)(E,1)/r!
Ω	0.13649593023928	Real period
R	8.8013032447698	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	11440u3 45760g3 12870bv3 7150o3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1430d3

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	+	-	-3	-7	0	-3	5	-7	0	-10	12	-9	-6	-1	-4	15	2	8	-6	3	8

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Quadratic twists for elliptic curve 1430d3

-4	8	-3	5	-7	-11	13
11440u3	45760g3	12870bv3	7150o3	70070a3	15730x3	18590k3

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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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