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
Δ	-1437906432735338496 = -1 · 213 · 3 · 72 · 1036	Discriminant
Eigenvalues	2- 3+ -2 7+ -4  0  8  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-28284,57710301]	[a1,a2,a3,a4,a6]
Generators	[-231:7325:1]	Generators of the group modulo torsion
j	-2502344836109555137/1437906432735338496	j-invariant
L	3.963165491701	L(r)(E,1)/r!
Ω	0.21814823317671	Real period
R	0.46582833384681	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	34608ba2 12978f2 108150bm2 30282bk2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4326f2

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 4326f2

-4	-3	5	-7
34608ba2	12978f2	108150bm2	30282bk2

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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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