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	24720b	Isogeny class
Conductor	24720	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	213580800 = 210 · 34 · 52 · 103	Discriminant
Eigenvalues	2+ 3+ 5+  0  4 -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-54936,-4937760]	[a1,a2,a3,a4,a6]
j	17906172504508516/208575	j-invariant
L	0.62368404375272	L(r)(E,1)/r!
Ω	0.31184202187636	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	12360c3 98880cb4 74160r4 123600k4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 24720b4

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
+	+	+	0	4	-2	-6	4	-4	-10	-8	-10	2	4	-8	-14	-8	14	-12	-8	10	16	-16	6	18

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Quadratic twists for elliptic curve 24720b4

-4	8	-3	5
12360c3	98880cb4	74160r4	123600k4

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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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