Cremona's table of elliptic curves

1254 = 2 · 3 · 11 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 11+ 19+	Signs for the Atkin-Lehner involutions
Class	1254i	Isogeny class
Conductor	1254	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	69341184 = 212 · 34 · 11 · 19	Discriminant
Eigenvalues	2- 3- -2 -4 11+ -2 -6 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-374,2724]	[a1,a2,a3,a4,a6]
Generators	[-20:58:1]	Generators of the group modulo torsion
j	5786435182177/69341184	j-invariant
L	3.6219324541048	L(r)(E,1)/r!
Ω	1.9578167291582	Real period
R	0.61666181520168	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	10032l1 40128m1 3762h1 31350a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1254i1

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

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Quadratic twists for elliptic curve 1254i1

-4	8	-3	5	-7	-11	-19
10032l1	40128m1	3762h1	31350a1	61446bz1	13794r1	23826d1

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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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