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	128	Product of Tamagawa factors cp
Δ	9958443264 = 28 · 38 · 72 · 112	Discriminant
Eigenvalues	2- 3- -2 7+ 11+ -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2084,35616]	[a1,a2,a3,a4,a6]
Generators	[-26:270:1]	Generators of the group modulo torsion
j	3911877700432/38900169	j-invariant
L	3.0571286726125	L(r)(E,1)/r!
Ω	1.2952537949744	Real period
R	1.1801272787133	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	3696g2 14784i2 5544g2 46200g2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1848j2

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 1848j2

-4	8	-3	5	-7	-11
3696g2	14784i2	5544g2	46200g2	12936n2	20328m2

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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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