Cremona's table of elliptic curves

4800 = 2⁶ · 3 · 5²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5-	Signs for the Atkin-Lehner involutions
Class	4800bb	Isogeny class
Conductor	4800	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	-1080000 = -1 · 26 · 33 · 54	Discriminant
Eigenvalues	2+ 3- 5- -1 -4  3 -4 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,17,-37]	[a1,a2,a3,a4,a6]
Generators	[2:3:1]	Generators of the group modulo torsion
j	12800/27	j-invariant
L	4.2876633719708	L(r)(E,1)/r!
Ω	1.4351245148262	Real period
R	0.99588649571872	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	4800i1 2400x1 14400bx1 4800d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4800bb1

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
+	-	-	-1	-4	3	-4	-1	0	8	-1	-2	2	-11	2	10	-6	-11	9	-6	-14	-16	2	0	-11

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Quadratic twists for elliptic curve 4800bb1

-4	8	-3	5
4800i1	2400x1	14400bx1	4800d1

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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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