Cremona's table of elliptic curves

96048 = 2⁴ · 3² · 23 · 29

Field	Data	Notes
Atkin-Lehner	2- 3- 23- 29-	Signs for the Atkin-Lehner involutions
Class	96048bl	Isogeny class
Conductor	96048	Conductor
∏ cp	192	Product of Tamagawa factors cp
deg	737280	Modular degree for the optimal curve
Δ	-102783397048860672 = -1 · 214 · 36 · 233 · 294	Discriminant
Eigenvalues	2- 3-  0 -4  2  6 -2  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-44235,-15835014]	[a1,a2,a3,a4,a6]
Generators	[570:12006:1]	Generators of the group modulo torsion
j	-3205784543625/34421951708	j-invariant
L	6.1846015338131	L(r)(E,1)/r!
Ω	0.14266045135908	Real period
R	0.90316457002701	Regulator
r	1	Rank of the group of rational points
S	1.0000000005913	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	12006l1 10672c1	Quadratic twists by: -4 -3

Hecke Eigenvalues for elliptic curve 96048bl1

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
-	-	0	-4	2	6	-2	2	-	-	0	4	2	-10	8	8	-4	-8	-2	-8	6	-8	-6	-6	18

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Quadratic twists for elliptic curve 96048bl1

-4	-3
12006l1	10672c1

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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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