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	20280j	Isogeny class
Conductor	20280	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	57600	Modular degree for the optimal curve
Δ	-8541936000000 = -1 · 210 · 35 · 56 · 133	Discriminant
Eigenvalues	2+ 3+ 5-  4  4 13- -8  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-3280,-157028]	[a1,a2,a3,a4,a6]
Generators	[234:3440:1]	Generators of the group modulo torsion
j	-1735192372/3796875	j-invariant
L	5.7213938666507	L(r)(E,1)/r!
Ω	0.2953590229311	Real period
R	3.2284967460236	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	40560bf1 60840bp1 101400do1 20280r1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 20280j1

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

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Quadratic twists for elliptic curve 20280j1

-4	-3	5	13
40560bf1	60840bp1	101400do1	20280r1

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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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