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	24240z	Isogeny class
Conductor	24240	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-4051308380160 = -1 · 218 · 3 · 5 · 1013	Discriminant
Eigenvalues	2- 3+ 5-  1  3 -4 -3 -5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1080,98160]	[a1,a2,a3,a4,a6]
Generators	[-4:320:1]	Generators of the group modulo torsion
j	-34043726521/989088960	j-invariant
L	4.8964398148333	L(r)(E,1)/r!
Ω	0.65313456422684	Real period
R	1.8742078903103	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	3030l2 96960di2 72720bm2 121200cy2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 24240z2

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	3	-4	-3	-5	3	6	-5	-4	3	4	3	-6	12	-10	-5	6	5	1	12	-3	2

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Quadratic twists for elliptic curve 24240z2

-4	8	-3	5
3030l2	96960di2	72720bm2	121200cy2

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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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