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	4326o	Isogeny class
Conductor	4326	Conductor
∏ cp	360	Product of Tamagawa factors cp
deg	11520	Modular degree for the optimal curve
Δ	5169099608064 = 212 · 36 · 75 · 103	Discriminant
Eigenvalues	2- 3- -2 7- -2 -2  0  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-35489,2568009]	[a1,a2,a3,a4,a6]
Generators	[394:-7253:1]	Generators of the group modulo torsion
j	4943172466708284817/5169099608064	j-invariant
L	5.6983893371839	L(r)(E,1)/r!
Ω	0.76235749995616	Real period
R	0.083052160021332	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	34608k1 12978o1 108150d1 30282x1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4326o1

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

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Quadratic twists for elliptic curve 4326o1

-4	-3	5	-7
34608k1	12978o1	108150d1	30282x1

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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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