Cremona's table of elliptic curves

9660 = 2² · 3 · 5 · 7 · 23

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7- 23+	Signs for the Atkin-Lehner involutions
Class	9660b	Isogeny class
Conductor	9660	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-29629569312000 = -1 · 28 · 36 · 53 · 74 · 232	Discriminant
Eigenvalues	2- 3+ 5+ 7-  4  6 -6  6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-9476,444360]	[a1,a2,a3,a4,a6]
Generators	[46:322:1]	Generators of the group modulo torsion
j	-367624742361424/115740505125	j-invariant
L	4.0044271001007	L(r)(E,1)/r!
Ω	0.62613979035983	Real period
R	0.53295168823235	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	38640co2 28980j2 48300s2 67620bl2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 9660b2

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
-	+	+	-	4	6	-6	6	+	-2	-8	-8	-10	-4	-12	-6	10	6	-12	-2	6	-2	4	-14	4

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Quadratic twists for elliptic curve 9660b2

-4	-3	5	-7
38640co2	28980j2	48300s2	67620bl2

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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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