Cremona's table of elliptic curves

2548 = 2² · 7² · 13

Field	Data	Notes
Atkin-Lehner	2- 7- 13-	Signs for the Atkin-Lehner involutions
Class	2548k	Isogeny class
Conductor	2548	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	7056	Modular degree for the optimal curve
Δ	763813073296 = 24 · 710 · 132	Discriminant
Eigenvalues	2-  3  3 7- -5 13-  1  7	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2401,-16807]	[a1,a2,a3,a4,a6]
j	338688/169	j-invariant
L	4.3094221208244	L(r)(E,1)/r!
Ω	0.71823702013741	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	10192bo1 40768bd1 22932bb1 63700q1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2548k1

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	3	-	-5	-	1	7	-1	-2	5	-11	6	-12	7	11	-3	5	-1	0	11	-5	-4	-5	-2

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Quadratic twists for elliptic curve 2548k1

-4	8	-3	5	-7	13
10192bo1	40768bd1	22932bb1	63700q1	2548a1	33124s1

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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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