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	20280t	Isogeny class
Conductor	20280	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	6912	Modular degree for the optimal curve
Δ	-3504384000 = -1 · 211 · 34 · 53 · 132	Discriminant
Eigenvalues	2- 3+ 5-  1 -1 13+  0  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-160,-2900]	[a1,a2,a3,a4,a6]
Generators	[25:90:1]	Generators of the group modulo torsion
j	-1316978/10125	j-invariant
L	4.9200211977117	L(r)(E,1)/r!
Ω	0.59231226191855	Real period
R	1.3844108685103	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	40560bb1 60840i1 101400bd1 20280b1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 20280t1

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	-1	+	0	1	4	4	2	-1	-6	-10	7	1	-4	-14	-8	-2	-8	-10	0	3	8

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Quadratic twists for elliptic curve 20280t1

-4	-3	5	13
40560bb1	60840i1	101400bd1	20280b1

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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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