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	5354416330059132 = 22 · 38 · 73 · 296	Discriminant
Eigenvalues	2+ 3-  0 7-  0  2  6  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-52137,2945889]	[a1,a2,a3,a4,a6]
j	21500025903924625/7344878367708	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	29232bc4 116928bw4 1218k4 91350ee4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3654m4

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 3654m4

-4	8	-3	5	-7	29
29232bc4	116928bw4	1218k4	91350ee4	25578u4	105966cg4

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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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