Cremona's table of elliptic curves

24080 = 2⁴ · 5 · 7 · 43

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 43-	Signs for the Atkin-Lehner involutions
Class	24080s	Isogeny class
Conductor	24080	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	4144256614400000000 = 221 · 58 · 76 · 43	Discriminant
Eigenvalues	2-  2 5- 7- -4  4  2 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1807240,930588912]	[a1,a2,a3,a4,a6]
Generators	[1044:-13440:1]	Generators of the group modulo torsion
j	159371806517831988361/1011781400000000	j-invariant
L	8.3041106181171	L(r)(E,1)/r!
Ω	0.24800201655805	Real period
R	0.69758426542315	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	3010b2 96320bo2 120400ba2	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 24080s2

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

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Quadratic twists for elliptic curve 24080s2

-4	8	5
3010b2	96320bo2	120400ba2

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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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