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	1848k	Isogeny class
Conductor	1848	Conductor
∏ cp	64	Product of Tamagawa factors cp
deg	1024	Modular degree for the optimal curve
Δ	-2125170432 = -1 · 28 · 34 · 7 · 114	Discriminant
Eigenvalues	2- 3-  2 7+ 11-  6  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,28,-2208]	[a1,a2,a3,a4,a6]
j	9148592/8301447	j-invariant
L	2.7349621334459	L(r)(E,1)/r!
Ω	0.68374053336147	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	3696d1 14784e1 5544e1 46200p1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1848k1

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	+	-	6	6	0	-8	-2	4	-2	-2	-12	12	6	4	6	4	0	-2	8	0	-6	18

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Quadratic twists for elliptic curve 1848k1

-4	8	-3	5	-7	-11
3696d1	14784e1	5544e1	46200p1	12936t1	20328l1

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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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