Cremona's table of elliptic curves

2054 = 2 · 13 · 79

Field	Data	Notes
Atkin-Lehner	2+ 13- 79-	Signs for the Atkin-Lehner involutions
Class	2054b	Isogeny class
Conductor	2054	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	240	Modular degree for the optimal curve
Δ	-5554016 = -1 · 25 · 133 · 79	Discriminant
Eigenvalues	2+  0  1  1 -3 13-  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,26,-108]	[a1,a2,a3,a4,a6]
Generators	[7:16:1]	Generators of the group modulo torsion
j	1902014919/5554016	j-invariant
L	2.3709011603765	L(r)(E,1)/r!
Ω	1.2345875685371	Real period
R	0.64013311565143	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	16432h1 65728e1 18486bb1 51350q1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2054b1

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	1	1	-3	-	2	0	-1	1	4	-8	-3	-11	0	11	0	-6	-7	-1	-12	-	7	4	-14

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Quadratic twists for elliptic curve 2054b1

-4	8	-3	5	-7	13
16432h1	65728e1	18486bb1	51350q1	100646c1	26702i1

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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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