Cremona's table of elliptic curves

3249 = 3² · 19²

Field	Data	Notes
Atkin-Lehner	3- 19+	Signs for the Atkin-Lehner involutions
Class	3249a	Isogeny class
Conductor	3249	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-235239331680891 = -1 · 36 · 199	Discriminant
Eigenvalues	0 3-  1  3  5  0  7 19+	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-123462,16713668]	[a1,a2,a3,a4,a6]
j	-884736	j-invariant
L	2.220207638053	L(r)(E,1)/r!
Ω	0.55505190951325	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	51984cc2 361a2 81225p2 3249a1	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 3249a2

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
0	-	1	3	5	0	7	+	4	0	0	0	0	-1	-13	0	0	15	0	0	-11	0	16	0	0

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Quadratic twists for elliptic curve 3249a2

-4	-3	5	-19
51984cc2	361a2	81225p2	3249a1

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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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