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	20880h	Isogeny class
Conductor	20880	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	8456400000000 = 210 · 36 · 58 · 29	Discriminant
Eigenvalues	2+ 3- 5+  0  0 -2  6  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-7443,-203742]	[a1,a2,a3,a4,a6]
j	61085802564/11328125	j-invariant
L	2.0823299222117	L(r)(E,1)/r!
Ω	0.52058248055294	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	10440q3 83520gc4 2320d3 104400l4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 20880h3

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

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Quadratic twists for elliptic curve 20880h3

-4	8	-3	5
10440q3	83520gc4	2320d3	104400l4

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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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