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	4	Product of Tamagawa factors cp
Δ	-5089966336 = -1 · 28 · 76 · 132	Discriminant
Eigenvalues	2-  0 -2 7- -2 13- -6  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,49,3430]	[a1,a2,a3,a4,a6]
j	432/169	j-invariant
L	1.0591754502974	L(r)(E,1)/r!
Ω	1.0591754502974	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	10192be2 40768l2 22932w2 63700j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2548i2

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 2548i2

-4	8	-3	5	-7	13
10192be2	40768l2	22932w2	63700j2	52a1	33124h2

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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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