Cremona's table of elliptic curves

1848 = 2³ · 3 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 11+	Signs for the Atkin-Lehner involutions
Class	1848j	Isogeny class
Conductor	1848	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	99792 = 24 · 34 · 7 · 11	Discriminant
Eigenvalues	2- 3- -2 7+ 11+ -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2079,35802]	[a1,a2,a3,a4,a6]
Generators	[42:156:1]	Generators of the group modulo torsion
j	62140690757632/6237	j-invariant
L	3.0571286726125	L(r)(E,1)/r!
Ω	2.5905075899489	Real period
R	2.3602545574266	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	3696g1 14784i1 5544g1 46200g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1848j1

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	2	4	0	6	-8	-10	-6	-12	-8	-10	12	-2	-4	0	-6	0	-12	10	-14

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Quadratic twists for elliptic curve 1848j1

-4	8	-3	5	-7	-11
3696g1	14784i1	5544g1	46200g1	12936n1	20328m1

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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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