Cremona's table of elliptic curves

24640 = 2⁶ · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 11-	Signs for the Atkin-Lehner involutions
Class	24640bu	Isogeny class
Conductor	24640	Conductor
∏ cp	768	Product of Tamagawa factors cp
Δ	4.40959746304E+19	Discriminant
Eigenvalues	2-  0 5- 7- 11- -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-963532,174499344]	[a1,a2,a3,a4,a6]
Generators	[1413:-40425:1]	Generators of the group modulo torsion
j	1509531602170901796/672851175390625	j-invariant
L	5.5977395526852	L(r)(E,1)/r!
Ω	0.18201977249269	Real period
R	0.64069728479064	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	24640s2 6160a2 123200ej2	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 24640bu2

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	-	-	-	-2	2	0	0	-6	0	2	-6	-4	0	10	0	6	12	8	-14	16	-16	-6	10

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Quadratic twists for elliptic curve 24640bu2

-4	8	5
24640s2	6160a2	123200ej2

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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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