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	1254d	Isogeny class
Conductor	1254	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	448	Modular degree for the optimal curve
Δ	195182592 = 214 · 3 · 11 · 192	Discriminant
Eigenvalues	2+ 3-  0 -2 11+ -4  2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-206,896]	[a1,a2,a3,a4,a6]
Generators	[14:21:1]	Generators of the group modulo torsion
j	960044289625/195182592	j-invariant
L	2.218718906774	L(r)(E,1)/r!
Ω	1.6945001293792	Real period
R	1.3093648494361	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	10032i1 40128j1 3762p1 31350bg1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1254d1

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	+	-4	2	-	-2	-2	-4	2	-10	-8	2	12	8	-12	-12	-6	-6	6	12	-6	14

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Quadratic twists for elliptic curve 1254d1

-4	8	-3	5	-7	-11	-19
10032i1	40128j1	3762p1	31350bg1	61446c1	13794bh1	23826z1

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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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