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	4326c	Isogeny class
Conductor	4326	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	-11628288 = -1 · 28 · 32 · 72 · 103	Discriminant
Eigenvalues	2- 3+  0 7+  2 -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-18,159]	[a1,a2,a3,a4,a6]
Generators	[1:11:1]	Generators of the group modulo torsion
j	-647214625/11628288	j-invariant
L	4.5540015258835	L(r)(E,1)/r!
Ω	1.9076202841849	Real period
R	0.29840854359475	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	34608y1 12978e1 108150bj1 30282bg1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4326c1

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

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Quadratic twists for elliptic curve 4326c1

-4	-3	5	-7
34608y1	12978e1	108150bj1	30282bg1

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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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