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	24640bg	Isogeny class
Conductor	24640	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-20779109908480 = -1 · 216 · 5 · 78 · 11	Discriminant
Eigenvalues	2-  0 5+ 7+ 11-  6  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,1492,218192]	[a1,a2,a3,a4,a6]
Generators	[-43:273:1]	Generators of the group modulo torsion
j	5604672636/317064055	j-invariant
L	4.7462946839696	L(r)(E,1)/r!
Ω	0.51893353757617	Real period
R	4.5731238591155	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	24640i3 6160c4 123200gc3	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 24640bg3

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	+	+	-	6	6	-4	-4	-6	0	10	10	4	-12	-6	-4	-14	-8	-16	-2	0	12	-6	18

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Quadratic twists for elliptic curve 24640bg3

-4	8	5
24640i3	6160c4	123200gc3

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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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