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	9690y	Isogeny class
Conductor	9690	Conductor
∏ cp	216	Product of Tamagawa factors cp
deg	13824	Modular degree for the optimal curve
Δ	-84837888000 = -1 · 212 · 33 · 53 · 17 · 192	Discriminant
Eigenvalues	2- 3- 5- -4  0 -4 17+ 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,790,11172]	[a1,a2,a3,a4,a6]
Generators	[-8:70:1]	Generators of the group modulo torsion
j	54521855422559/84837888000	j-invariant
L	7.4007239548556	L(r)(E,1)/r!
Ω	0.73425636720344	Real period
R	1.6798682961018	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	77520bo1 29070o1 48450l1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 9690y1

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

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Quadratic twists for elliptic curve 9690y1

-4	-3	5
77520bo1	29070o1	48450l1

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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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