Cremona's table of elliptic curves

9690 = 2 · 3 · 5 · 17 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 17- 19+	Signs for the Atkin-Lehner involutions
Class	9690r	Isogeny class
Conductor	9690	Conductor
∏ cp	160	Product of Tamagawa factors cp
Δ	1.9660574707031E+20	Discriminant
Eigenvalues	2- 3- 5+  4  4 -2 17- 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1706561,-530430615]	[a1,a2,a3,a4,a6]
j	549653727492794875187089/196605747070312500000	j-invariant
L	5.4402561429521	L(r)(E,1)/r!
Ω	0.1360064035738	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	77520bl4 29070p4 48450b4	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 9690r3

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	4	-2	-	+	4	-6	-4	10	10	-4	0	-2	4	10	-4	-12	-6	-4	-4	10	10

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Quadratic twists for elliptic curve 9690r3

-4	-3	5
77520bl4	29070p4	48450b4

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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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