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	384	Product of Tamagawa factors cp
Δ	1.3719926794822E+20	Discriminant
Eigenvalues	2-  0 5- 7- 11- -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-13063532,18164779344]	[a1,a2,a3,a4,a6]
Generators	[2138:2800:1]	Generators of the group modulo torsion
j	1881029584733429900898/1046747344575625	j-invariant
L	5.5977395526852	L(r)(E,1)/r!
Ω	0.18201977249269	Real period
R	1.2813945695813	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	24640s4 6160a4 123200ej4	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 24640bu4

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 24640bu4

-4	8	5
24640s4	6160a4	123200ej4

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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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