Cremona's table of elliptic curves

8820 = 2² · 3² · 5 · 7²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7-	Signs for the Atkin-Lehner involutions
Class	8820a	Isogeny class
Conductor	8820	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	317712018632400 = 24 · 39 · 52 · 79	Discriminant
Eigenvalues	2- 3+ 5+ 7-  0  4 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-153468,23124717]	[a1,a2,a3,a4,a6]
Generators	[211:370:1]	Generators of the group modulo torsion
j	10788913152/8575	j-invariant
L	4.1135990218566	L(r)(E,1)/r!
Ω	0.53919383897521	Real period
R	3.8145827386259	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	35280cw3 8820e1 44100g3 1260d3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 8820a3

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

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Quadratic twists for elliptic curve 8820a3

-4	-3	5	-7
35280cw3	8820e1	44100g3	1260d3

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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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