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	9690p	Isogeny class
Conductor	9690	Conductor
∏ cp	324	Product of Tamagawa factors cp
Δ	4520567548335375000 = 23 · 318 · 56 · 173 · 19	Discriminant
Eigenvalues	2+ 3- 5- -4 -6  2 17- 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-3931548,-2999081822]	[a1,a2,a3,a4,a6]
Generators	[-1126:1290:1]	Generators of the group modulo torsion
j	6720696758719957188650041/4520567548335375000	j-invariant
L	3.4675524638075	L(r)(E,1)/r!
Ω	0.10722009978539	Real period
R	3.5933897455879	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	77520by2 29070be2 48450be2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 9690p2

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	2	-	-	0	0	8	8	6	-4	-12	6	-6	2	2	-6	8	-16	12	-12	-10

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Quadratic twists for elliptic curve 9690p2

-4	-3	5
77520by2	29070be2	48450be2

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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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