Cremona's table of elliptic curves

20880 = 2⁴ · 3² · 5 · 29

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 29-	Signs for the Atkin-Lehner involutions
Class	20880ca	Isogeny class
Conductor	20880	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	12288	Modular degree for the optimal curve
Δ	15586836480 = 214 · 38 · 5 · 29	Discriminant
Eigenvalues	2- 3- 5+ -2 -2 -4 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-723,-4462]	[a1,a2,a3,a4,a6]
Generators	[-17:54:1] [-14:54:1]	Generators of the group modulo torsion
j	13997521/5220	j-invariant
L	6.7564084711617	L(r)(E,1)/r!
Ω	0.94974338138153	Real period
R	1.7784826416306	Regulator
r	2	Rank of the group of rational points
S	0.99999999999991	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2610d1 83520fs1 6960y1 104400el1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 20880ca1

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

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Quadratic twists for elliptic curve 20880ca1

-4	8	-3	5
2610d1	83520fs1	6960y1	104400el1

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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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