Cremona's table of elliptic curves

3654 = 2 · 3² · 7 · 29

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 29-	Signs for the Atkin-Lehner involutions
Class	3654m	Isogeny class
Conductor	3654	Conductor
∏ cp	144	Product of Tamagawa factors cp
Δ	-100403996403312 = -1 · 24 · 37 · 76 · 293	Discriminant
Eigenvalues	2+ 3-  0 7-  0  2  6  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,9603,315765]	[a1,a2,a3,a4,a6]
j	134335727363375/137728390128	j-invariant
L	1.5797136630261	L(r)(E,1)/r!
Ω	0.39492841575652	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	29232bc3 116928bw3 1218k3 91350ee3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3654m3

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	-	0	2	6	8	-6	-	8	2	6	-10	0	-6	0	-4	-4	6	8	-10	0	-6	8

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Quadratic twists for elliptic curve 3654m3

-4	8	-3	5	-7	29
29232bc3	116928bw3	1218k3	91350ee3	25578u3	105966cg3

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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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