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	3654l	Isogeny class
Conductor	3654	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	6912	Modular degree for the optimal curve
Δ	-1074477963888 = -1 · 24 · 39 · 76 · 29	Discriminant
Eigenvalues	2+ 3- -4 7+  0  2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-3969,-107411]	[a1,a2,a3,a4,a6]
Generators	[110:827:1]	Generators of the group modulo torsion
j	-9486391169809/1473906672	j-invariant
L	1.9078731700737	L(r)(E,1)/r!
Ω	0.29819031903477	Real period
R	3.1990863691508	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	29232bw1 116928bd1 1218e1 91350et1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3654l1

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
+	-	-4	+	0	2	-2	0	2	-	0	2	-2	-2	8	2	0	-8	12	-2	4	6	-16	10	4

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Quadratic twists for elliptic curve 3654l1

-4	8	-3	5	-7	29
29232bw1	116928bd1	1218e1	91350et1	25578ba1	105966cc1

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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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