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	8820r	Isogeny class
Conductor	8820	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	90720	Modular degree for the optimal curve
Δ	-6589582608672000 = -1 · 28 · 36 · 53 · 710	Discriminant
Eigenvalues	2- 3- 5+ 7- -6 -2 -6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-439383,112169918]	[a1,a2,a3,a4,a6]
j	-177953104/125	j-invariant
L	0.41815482444252	L(r)(E,1)/r!
Ω	0.41815482444252	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	35280eq1 980f1 44100co1 8820v1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 8820r1

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
-	-	+	-	-6	-2	-6	-8	-3	-3	-2	8	-3	5	0	-12	0	1	-7	0	10	-4	3	-3	10

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Quadratic twists for elliptic curve 8820r1

-4	-3	5	-7
35280eq1	980f1	44100co1	8820v1

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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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