Cremona's table of elliptic curves

2254 = 2 · 7² · 23

Field	Data	Notes
Atkin-Lehner	2- 7- 23-	Signs for the Atkin-Lehner involutions
Class	2254g	Isogeny class
Conductor	2254	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	1152	Modular degree for the optimal curve
Δ	75765956 = 22 · 77 · 23	Discriminant
Eigenvalues	2- -2  2 7-  6  4  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-197,-995]	[a1,a2,a3,a4,a6]
j	7189057/644	j-invariant
L	2.5631894345007	L(r)(E,1)/r!
Ω	1.2815947172504	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	18032t1 72128t1 20286y1 56350f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2254g1

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
-	-2	2	-	6	4	2	-4	-	-10	8	-8	2	6	-12	12	6	6	-2	16	-2	0	-4	6	-2

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Quadratic twists for elliptic curve 2254g1

-4	8	-3	5	-7	-23
18032t1	72128t1	20286y1	56350f1	322c1	51842p1

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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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