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
Δ	12857074255872 = 211 · 32 · 78 · 112	Discriminant
Eigenvalues	2- 3- -2 7+ 11+ -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-47264,-3967008]	[a1,a2,a3,a4,a6]
Generators	[-982:105:8]	Generators of the group modulo torsion
j	5701568801608514/6277868289	j-invariant
L	3.0571286726125	L(r)(E,1)/r!
Ω	0.32381344874361	Real period
R	4.7205091148532	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3696g5 14784i5 5544g5 46200g6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1848j5

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 1848j5

-4	8	-3	5	-7	-11
3696g5	14784i5	5544g5	46200g6	12936n5	20328m5

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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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