Cremona's table of elliptic curves

3549 = 3 · 7 · 13²

Field	Data	Notes
Atkin-Lehner	3- 7- 13+	Signs for the Atkin-Lehner involutions
Class	3549d	Isogeny class
Conductor	3549	Conductor
∏ cp	224	Product of Tamagawa factors cp
deg	112896	Modular degree for the optimal curve
Δ	-5.7298926911256E+19	Discriminant
Eigenvalues	-2 3- -1 7-  2 13+  0 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,429204,-347596648]	[a1,a2,a3,a4,a6]
Generators	[810:23068:1]	Generators of the group modulo torsion
j	1811564780171264/11870974573731	j-invariant
L	2.1693749877186	L(r)(E,1)/r!
Ω	0.098901946624791	Real period
R	0.097922337194658	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	56784bf1 10647g1 88725i1 24843f1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 3549d1

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
-2	-	-1	-	2	+	0	-1	3	-5	-9	0	-2	-1	-3	-9	0	-2	-10	12	-15	11	-3	17	-3

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Quadratic twists for elliptic curve 3549d1

-4	-3	5	-7	13
56784bf1	10647g1	88725i1	24843f1	273b1

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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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