Cremona's table of elliptic curves

7623 = 3² · 7 · 11²

Field	Data	Notes
Atkin-Lehner	3- 7- 11-	Signs for the Atkin-Lehner involutions
Class	7623p	Isogeny class
Conductor	7623	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	27907331342121 = 38 · 74 · 116	Discriminant
Eigenvalues	-1 3-  2 7- 11-  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-53384,-4727302]	[a1,a2,a3,a4,a6]
j	13027640977/21609	j-invariant
L	1.2564657973685	L(r)(E,1)/r!
Ω	0.31411644934213	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	121968ec4 2541l4 53361bo4 63a4	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 7623p3

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	-	2	-	-	2	-6	-4	0	-2	0	6	2	4	0	-6	-12	2	4	0	6	16	-12	14	18

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Quadratic twists for elliptic curve 7623p3

-4	-3	-7	-11
121968ec4	2541l4	53361bo4	63a4

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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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