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	4326f	Isogeny class
Conductor	4326	Conductor
∏ cp	156	Product of Tamagawa factors cp
deg	49920	Modular degree for the optimal curve
Δ	4619895060824064 = 226 · 32 · 7 · 1033	Discriminant
Eigenvalues	2- 3+ -2 7+ -4  0  8  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-151164,22320861]	[a1,a2,a3,a4,a6]
Generators	[193:521:1]	Generators of the group modulo torsion
j	382004974093878023617/4619895060824064	j-invariant
L	3.963165491701	L(r)(E,1)/r!
Ω	0.43629646635342	Real period
R	0.23291416692341	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	34608ba1 12978f1 108150bm1 30282bk1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4326f1

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	+	-4	0	8	2	-4	10	0	8	0	-10	-12	6	-8	-12	-2	-10	-14	0	8	-6	-14

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Quadratic twists for elliptic curve 4326f1

-4	-3	5	-7
34608ba1	12978f1	108150bm1	30282bk1

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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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