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	1848c	Isogeny class
Conductor	1848	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	160	Modular degree for the optimal curve
Δ	-3696 = -1 · 24 · 3 · 7 · 11	Discriminant
Eigenvalues	2+ 3+ -3 7- 11- -1 -2  7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-12,21]	[a1,a2,a3,a4,a6]
Generators	[2:1:1]	Generators of the group modulo torsion
j	-12967168/231	j-invariant
L	2.2393866218632	L(r)(E,1)/r!
Ω	4.4345533093096	Real period
R	0.25249291931637	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	3696j1 14784bg1 5544u1 46200cp1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1848c1

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	-	-	-1	-2	7	-4	7	2	1	-12	-12	-9	12	3	10	-7	-12	-15	12	-18	-10	-4

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Quadratic twists for elliptic curve 1848c1

-4	8	-3	5	-7	-11
3696j1	14784bg1	5544u1	46200cp1	12936l1	20328s1

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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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