Cremona's table of elliptic curves

1854 = 2 · 3² · 103

Field	Data	Notes
Atkin-Lehner	2+ 3- 103-	Signs for the Atkin-Lehner involutions
Class	1854d	Isogeny class
Conductor	1854	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1792	Modular degree for the optimal curve
Δ	-57666816 = -1 · 28 · 37 · 103	Discriminant
Eigenvalues	2+ 3- -3 -2  2  3  0  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-13356,597456]	[a1,a2,a3,a4,a6]
Generators	[72:36:1]	Generators of the group modulo torsion
j	-361446235206337/79104	j-invariant
L	1.8328836310484	L(r)(E,1)/r!
Ω	1.5721171858194	Real period
R	0.29146739943771	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	14832l1 59328u1 618g1 46350bt1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1854d1

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
+	-	-3	-2	2	3	0	0	3	2	-3	2	0	-3	10	-10	-9	-5	-5	-8	-4	-2	3	-10	-7

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Quadratic twists for elliptic curve 1854d1

-4	8	-3	5	-7
14832l1	59328u1	618g1	46350bt1	90846bn1

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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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