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	7623i	Isogeny class
Conductor	7623	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	7176903178883823 = 314 · 7 · 118	Discriminant
Eigenvalues	-1 3-  2 7+ 11- -6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-4921214,-4200771594]	[a1,a2,a3,a4,a6]
Generators	[1039846150:2707135443:405224]	Generators of the group modulo torsion
j	10206027697760497/5557167	j-invariant
L	2.7504467999361	L(r)(E,1)/r!
Ω	0.10136348018003	Real period
R	13.567247272149	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	121968fv6 2541b5 53361bp6 693d5	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 7623i5

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	+	-	-6	2	-4	0	-2	8	6	10	4	8	-6	-4	10	-12	0	-2	-16	4	-18	2

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Quadratic twists for elliptic curve 7623i5

-4	-3	-7	-11
121968fv6	2541b5	53361bp6	693d5

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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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