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	24720s	Isogeny class
Conductor	24720	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	5467668480 = 217 · 34 · 5 · 103	Discriminant
Eigenvalues	2- 3- 5+  0 -4 -6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1406296,-642362860]	[a1,a2,a3,a4,a6]
j	75092108227932529369/1334880	j-invariant
L	0.5545495215121	L(r)(E,1)/r!
Ω	0.13863738037802	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	3090a3 98880bm4 74160bu4 123600t4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 24720s4

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	-6	-2	-4	0	-6	-8	-2	2	-4	12	2	-12	-2	4	8	10	0	-12	-18	18

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Quadratic twists for elliptic curve 24720s4

-4	8	-3	5
3090a3	98880bm4	74160bu4	123600t4

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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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