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	3654f	Isogeny class
Conductor	3654	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	9216	Modular degree for the optimal curve
Δ	1425675976704 = 216 · 37 · 73 · 29	Discriminant
Eigenvalues	2+ 3- -2 7+ -4  6  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-6363,188325]	[a1,a2,a3,a4,a6]
j	39085920587953/1955659776	j-invariant
L	0.84181227038109	L(r)(E,1)/r!
Ω	0.84181227038109	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	29232bo1 116928bl1 1218g1 91350eq1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3654f1

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	+	-4	6	6	-4	4	+	-8	6	-2	0	-8	2	-12	-6	-12	-4	14	4	12	6	6

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Quadratic twists for elliptic curve 3654f1

-4	8	-3	5	-7	29
29232bo1	116928bl1	1218g1	91350eq1	25578m1	105966bw1

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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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