Cremona's table of elliptic curves

3318 = 2 · 3 · 7 · 79

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 79-	Signs for the Atkin-Lehner involutions
Class	3318f	Isogeny class
Conductor	3318	Conductor
∏ cp	72	Product of Tamagawa factors cp
deg	3456	Modular degree for the optimal curve
Δ	57601827108 = 22 · 312 · 73 · 79	Discriminant
Eigenvalues	2+ 3-  0 7-  0 -4  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1051,-6286]	[a1,a2,a3,a4,a6]
j	128214670515625/57601827108	j-invariant
L	1.74916211548	L(r)(E,1)/r!
Ω	0.87458105774002	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	26544h1 106176k1 9954k1 82950bq1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3318f1

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
+	-	0	-	0	-4	6	2	0	0	8	8	-6	-10	0	12	12	-10	8	12	2	-	-6	6	14

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Quadratic twists for elliptic curve 3318f1

-4	8	-3	5	-7
26544h1	106176k1	9954k1	82950bq1	23226d1

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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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