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	3654k	Isogeny class
Conductor	3654	Conductor
∏ cp	28	Product of Tamagawa factors cp
deg	157248	Modular degree for the optimal curve
Δ	-9.5402848402462E+20	Discriminant
Eigenvalues	2+ 3-  2 7+ -3 -1 -2  3	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,1514169,1301195965]	[a1,a2,a3,a4,a6]
Generators	[4643:326930:1]	Generators of the group modulo torsion
j	526646344431378309263/1308681048044740608	j-invariant
L	2.8219193165814	L(r)(E,1)/r!
Ω	0.1095106820191	Real period
R	0.92030138865785	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	29232bv1 116928bb1 1218d1 91350ex1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3654k1

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	+	-3	-1	-2	3	-1	-	0	11	-8	10	-7	-13	3	-8	-3	-8	-11	0	11	-8	7

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Quadratic twists for elliptic curve 3654k1

-4	8	-3	5	-7	29
29232bv1	116928bb1	1218d1	91350ex1	25578z1	105966bt1

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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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