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	18	Product of Tamagawa factors cp
deg	864	Modular degree for the optimal curve
Δ	-7261718750 = -1 · 2 · 59 · 11 · 132	Discriminant
Eigenvalues	2+  1 5- -1 11+ 13- -3 -7	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-488,5788]	[a1,a2,a3,a4,a6]
Generators	[-26:45:1]	Generators of the group modulo torsion
j	-12814546750201/7261718750	j-invariant
L	2.4026841474258	L(r)(E,1)/r!
Ω	1.2284633721536	Real period
R	0.9779225827522	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	11440u1 45760g1 12870bv1 7150o1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1430d1

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 1430d1

-4	8	-3	5	-7	-11	13
11440u1	45760g1	12870bv1	7150o1	70070a1	15730x1	18590k1

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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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