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	24240bp	Isogeny class
Conductor	24240	Conductor
∏ cp	182	Product of Tamagawa factors cp
deg	314496	Modular degree for the optimal curve
Δ	-2208870000000000000 = -1 · 213 · 37 · 513 · 101	Discriminant
Eigenvalues	2- 3- 5- -3 -2 -3 -3  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,247960,-53345100]	[a1,a2,a3,a4,a6]
Generators	[1420:-56250:1]	Generators of the group modulo torsion
j	411629883108940439/539274902343750	j-invariant
L	5.8060471880943	L(r)(E,1)/r!
Ω	0.13873420021454	Real period
R	0.22994588304116	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	3030d1 96960cb1 72720bk1 121200cd1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 24240bp1

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
-	-	-	-3	-2	-3	-3	2	0	0	9	-10	2	11	9	1	0	-9	6	4	11	-5	-7	9	4

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Quadratic twists for elliptic curve 24240bp1

-4	8	-3	5
3030d1	96960cb1	72720bk1	121200cd1

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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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