Cremona's table of elliptic curves

8624 = 2⁴ · 7² · 11

Field	Data	Notes
Atkin-Lehner	2- 7- 11-	Signs for the Atkin-Lehner involutions
Class	8624bb	Isogeny class
Conductor	8624	Conductor
∏ cp	18	Product of Tamagawa factors cp
Δ	-5.5677334351972E+19	Discriminant
Eigenvalues	2-  1 -3 7- 11-  4  6  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,345483,-350275549]	[a1,a2,a3,a4,a6]
j	9463555063808/115539436859	j-invariant
L	1.7562989300891	L(r)(E,1)/r!
Ω	0.097572162782728	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	539a3 34496cp3 77616fm3 1232f3	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 8624bb3

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
-	1	-3	-	-	4	6	2	-3	-6	5	11	-6	-8	0	-6	-9	10	-5	-9	-2	10	12	3	1

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Quadratic twists for elliptic curve 8624bb3

-4	8	-3	-7	-11
539a3	34496cp3	77616fm3	1232f3	94864cj3

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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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