Cremona's table of elliptic curves

48400 = 2⁴ · 5² · 11²

Field	Data	Notes
Atkin-Lehner	2- 5+ 11-	Signs for the Atkin-Lehner involutions
Class	48400cd	Isogeny class
Conductor	48400	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-1.8259946919104E+20	Discriminant
Eigenvalues	2- -1 5+ -3 11- -6 -7  5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-287497008,-1876186263488]	[a1,a2,a3,a4,a6]
Generators	[2240544:630724600:27]	Generators of the group modulo torsion
j	-23178622194826561/1610510	j-invariant
L	2.3665109831335	L(r)(E,1)/r!
Ω	0.01833205808982	Real period
R	8.0682122934589	Regulator
r	1	Rank of the group of rational points
S	1.0000000000078	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	6050z2 9680y2 4400n2	Quadratic twists by: -4 5 -11

Hecke Eigenvalues for elliptic curve 48400cd2

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	+	-3	-	-6	-7	5	-6	-5	3	-3	-2	-4	-2	1	10	-7	8	-7	14	10	6	-15	12

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Quadratic twists for elliptic curve 48400cd2

-4	5	-11
6050z2	9680y2	4400n2

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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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