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	32	Product of Tamagawa factors cp
Δ	-3394147857408 = -1 · 210 · 316 · 7 · 11	Discriminant
Eigenvalues	2- 3- -2 7+ 11+ -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-544,88592]	[a1,a2,a3,a4,a6]
Generators	[-13:306:1]	Generators of the group modulo torsion
j	-17418812548/3314597517	j-invariant
L	3.0571286726125	L(r)(E,1)/r!
Ω	0.64762689748721	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	3696g4 14784i4 5544g4 46200g3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1848j4

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 1848j4

-4	8	-3	5	-7	-11
3696g4	14784i4	5544g4	46200g3	12936n4	20328m4

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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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