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	2548i	Isogeny class
Conductor	2548	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	540	Modular degree for the optimal curve
Δ	24470992 = 24 · 76 · 13	Discriminant
Eigenvalues	2-  0 -2 7- -2 13- -6  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-196,1029]	[a1,a2,a3,a4,a6]
j	442368/13	j-invariant
L	1.0591754502974	L(r)(E,1)/r!
Ω	2.1183509005949	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	10192be1 40768l1 22932w1 63700j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2548i1

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	-2	-	-2	-	-6	6	8	2	-10	-6	6	4	2	6	10	2	10	10	-2	-4	6	6	-2

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Quadratic twists for elliptic curve 2548i1

-4	8	-3	5	-7	13
10192be1	40768l1	22932w1	63700j1	52a2	33124h1

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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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