Cremona's table of elliptic curves

24720 = 2⁴ · 3 · 5 · 103

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 103+	Signs for the Atkin-Lehner involutions
Class	24720g	Isogeny class
Conductor	24720	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-966774915072000 = -1 · 218 · 33 · 53 · 1033	Discriminant
Eigenvalues	2- 3+ 5+  1  0 -4 -3 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,16504,-1259280]	[a1,a2,a3,a4,a6]
j	121368251219831/236029032000	j-invariant
L	0.51715185144316	L(r)(E,1)/r!
Ω	0.25857592572156	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	3090b2 98880bv2 74160bl2 123600ce2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 24720g2

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	0	-4	-3	-2	-6	6	-5	-7	0	10	-9	-12	0	-1	4	12	-7	10	-6	-9	-10

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Quadratic twists for elliptic curve 24720g2

-4	8	-3	5
3090b2	98880bv2	74160bl2	123600ce2

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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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