Cremona's table of elliptic curves

24240 = 2⁴ · 3 · 5 · 101

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 101+	Signs for the Atkin-Lehner involutions
Class	24240bf	Isogeny class
Conductor	24240	Conductor
∏ cp	28	Product of Tamagawa factors cp
deg	56448	Modular degree for the optimal curve
Δ	-74117378211840 = -1 · 226 · 37 · 5 · 101	Discriminant
Eigenvalues	2- 3- 5+ -1 -1 -4  7  3	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-7816,-494860]	[a1,a2,a3,a4,a6]
Generators	[446:9216:1]	Generators of the group modulo torsion
j	-12893563987849/18095063040	j-invariant
L	5.6923338592568	L(r)(E,1)/r!
Ω	0.24153632771696	Real period
R	0.84168555410362	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	3030a1 96960ct1 72720ch1 121200bq1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 24240bf1

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	-1	-4	7	3	1	-10	3	0	7	-8	-7	-2	4	2	5	-6	3	17	0	1	-6

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Quadratic twists for elliptic curve 24240bf1

-4	8	-3	5
3030a1	96960ct1	72720ch1	121200bq1

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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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