Cremona's table of elliptic curves

9568 = 2⁵ · 13 · 23

Field	Data	Notes
Atkin-Lehner	2+ 13- 23+	Signs for the Atkin-Lehner involutions
Class	9568c	Isogeny class
Conductor	9568	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	27776	Modular degree for the optimal curve
Δ	-181300145401856 = -1 · 212 · 13 · 237	Discriminant
Eigenvalues	2+  1  1 -4 -5 13-  4 -5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-16445,1033067]	[a1,a2,a3,a4,a6]
j	-120085841645056/44262730811	j-invariant
L	1.0715260494118	L(r)(E,1)/r!
Ω	0.53576302470591	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	9568l1 19136a1 86112bn1 124384k1	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for elliptic curve 9568c1

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	-4	-5	-	4	-5	+	2	-10	-2	2	0	-2	4	6	10	11	6	12	6	3	2	3

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Quadratic twists for elliptic curve 9568c1

-4	8	-3	13
9568l1	19136a1	86112bn1	124384k1

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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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