Cremona's table of elliptic curves

423 = 3² · 47

Field	Data	Notes
Atkin-Lehner	3- 47-	Signs for the Atkin-Lehner involutions
Class	423f	Isogeny class
Conductor	423	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	96	Modular degree for the optimal curve
Δ	102789 = 37 · 47	Discriminant
Eigenvalues	-2 3-  1 -3 -1 -2 -2  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-237,1404]	[a1,a2,a3,a4,a6]
Generators	[8:4:1]	Generators of the group modulo torsion
j	2019487744/141	j-invariant
L	1.0465381336009	L(r)(E,1)/r!
Ω	3.1909530364969	Real period
R	0.16398519840796	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	6768m1 27072ba1 141e1 10575i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 423f1

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	-	1	-3	-1	-2	-2	6	-3	-3	2	-7	-10	-10	-	-4	-8	-10	10	14	-10	17	-8	-6	1

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Quadratic twists for elliptic curve 423f1

-4	8	-3	5	-7	-11	13	17	-47
6768m1	27072ba1	141e1	10575i1	20727l1	51183j1	71487k1	122247u1	19881o1

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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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