Cremona's table of elliptic curves

1548 = 2² · 3² · 43

Field	Data	Notes
Atkin-Lehner	2- 3- 43+	Signs for the Atkin-Lehner involutions
Class	1548a	Isogeny class
Conductor	1548	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	384	Modular degree for the optimal curve
Δ	-24074496 = -1 · 28 · 37 · 43	Discriminant
Eigenvalues	2- 3- -3 -1  1  7  2 -5	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-39,254]	[a1,a2,a3,a4,a6]
Generators	[7:-18:1]	Generators of the group modulo torsion
j	-35152/129	j-invariant
L	2.4515326849241	L(r)(E,1)/r!
Ω	1.8631188804352	Real period
R	0.10965182767222	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	6192z1 24768bh1 516a1 38700j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1548a1

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	1	7	2	-5	-8	-3	8	-4	-4	+	-7	-4	-12	0	-10	6	-14	-4	9	-2	-7

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Quadratic twists for elliptic curve 1548a1

-4	8	-3	5	-7	-43
6192z1	24768bh1	516a1	38700j1	75852g1	66564g1

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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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