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	24240bb	Isogeny class
Conductor	24240	Conductor
∏ cp	144	Product of Tamagawa factors cp
Δ	5.50854E+23	Discriminant
Eigenvalues	2- 3+ 5-  4 -6 -4  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-66050120,-203482237968]	[a1,a2,a3,a4,a6]
Generators	[-1708308:-15000000:343]	Generators of the group modulo torsion
j	7780089690739036865495881/134485839843750000000	j-invariant
L	4.9938513081262	L(r)(E,1)/r!
Ω	0.053013514060647	Real period
R	2.616655287814	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	3030m2 96960dn2 72720br2 121200dc2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 24240bb2

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
-	+	-	4	-6	-4	0	4	0	-6	4	-4	0	4	0	-6	-6	8	4	0	2	4	12	0	2

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Quadratic twists for elliptic curve 24240bb2

-4	8	-3	5
3030m2	96960dn2	72720br2	121200dc2

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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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