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	3654j	Isogeny class
Conductor	3654	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	402929236458 = 2 · 310 · 76 · 29	Discriminant
Eigenvalues	2+ 3-  4 7+ -4  0  0  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-2205,26163]	[a1,a2,a3,a4,a6]
j	1626794704081/552715002	j-invariant
L	1.7431787251737	L(r)(E,1)/r!
Ω	0.87158936258684	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	29232bs2 116928bv2 1218j2 91350em2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3654j2

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	+	-4	0	0	8	-8	+	-2	-6	4	12	-2	14	6	6	0	8	8	16	-6	12	-12

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Quadratic twists for elliptic curve 3654j2

-4	8	-3	5	-7	29
29232bs2	116928bv2	1218j2	91350em2	25578t2	105966cb2

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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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