Cremona's table of elliptic curves

20280 = 2³ · 3 · 5 · 13²

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 13+	Signs for the Atkin-Lehner involutions
Class	20280be	Isogeny class
Conductor	20280	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	-75298220400000000 = -1 · 210 · 3 · 58 · 137	Discriminant
Eigenvalues	2- 3- 5-  4 -4 13+ -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,105400,949248]	[a1,a2,a3,a4,a6]
j	26198797244/15234375	j-invariant
L	3.3218114567652	L(r)(E,1)/r!
Ω	0.20761321604782	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	40560l3 60840q3 101400l3 1560e4	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 20280be4

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

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Quadratic twists for elliptic curve 20280be4

-4	-3	5	13
40560l3	60840q3	101400l3	1560e4

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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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