Cremona's table of elliptic curves

9520 = 2⁴ · 5 · 7 · 17

Field	Data	Notes
Atkin-Lehner	2- 5- 7+ 17+	Signs for the Atkin-Lehner involutions
Class	9520k	Isogeny class
Conductor	9520	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	2016	Modular degree for the optimal curve
Δ	-3808000 = -1 · 28 · 53 · 7 · 17	Discriminant
Eigenvalues	2-  2 5- 7+ -6  5 17+ -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,35,-63]	[a1,a2,a3,a4,a6]
Generators	[9:30:1]	Generators of the group modulo torsion
j	17997824/14875	j-invariant
L	6.1451444887231	L(r)(E,1)/r!
Ω	1.3747422623374	Real period
R	0.74500564664326	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	2380a1 38080ba1 85680ec1 47600bf1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9520k1

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

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Quadratic twists for elliptic curve 9520k1

-4	8	-3	5	-7
2380a1	38080ba1	85680ec1	47600bf1	66640bq1

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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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