Cremona's table of elliptic curves

4326 = 2 · 3 · 7 · 103

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 103-	Signs for the Atkin-Lehner involutions
Class	4326n	Isogeny class
Conductor	4326	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	3737664 = 26 · 34 · 7 · 103	Discriminant
Eigenvalues	2- 3- -2 7- -2  0 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-39,9]	[a1,a2,a3,a4,a6]
Generators	[-6:9:1]	Generators of the group modulo torsion
j	6570725617/3737664	j-invariant
L	5.6998757542357	L(r)(E,1)/r!
Ω	2.1370758684928	Real period
R	0.44452296073261	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	34608j1 12978n1 108150c1 30282w1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4326n1

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

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Quadratic twists for elliptic curve 4326n1

-4	-3	5	-7
34608j1	12978n1	108150c1	30282w1

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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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