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	3654i	Isogeny class
Conductor	3654	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1920	Modular degree for the optimal curve
Δ	-265192704 = -1 · 28 · 36 · 72 · 29	Discriminant
Eigenvalues	2+ 3-  3 7+  1 -1  4 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-918,-10508]	[a1,a2,a3,a4,a6]
j	-117433042273/363776	j-invariant
L	1.7342677353932	L(r)(E,1)/r!
Ω	0.43356693384829	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	29232br1 116928bt1 406c1 91350eh1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3654i1

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
+	-	3	+	1	-1	4	-4	2	+	-1	6	0	3	9	-3	0	6	2	8	0	-13	0	14	16

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Quadratic twists for elliptic curve 3654i1

-4	8	-3	5	-7	29
29232br1	116928bt1	406c1	91350eh1	25578q1	105966bz1

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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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