Cremona's table of elliptic curves

423 = 3² · 47

Field	Data	Notes
Atkin-Lehner	3- 47+	Signs for the Atkin-Lehner involutions
Class	423b	Isogeny class
Conductor	423	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	43479747 = 39 · 472	Discriminant
Eigenvalues	1 3-  0  4  0  6  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-1287,18094]	[a1,a2,a3,a4,a6]
j	323535264625/59643	j-invariant
L	1.96708148744	L(r)(E,1)/r!
Ω	1.96708148744	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	6768r2 27072j2 141b2 10575o2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 423b2

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
1	-	0	4	0	6	6	2	-4	-8	6	-6	8	-6	+	-2	-12	2	-2	0	-10	-4	-4	10	-18

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Quadratic twists for elliptic curve 423b2

-4	8	-3	5	-7	-11	13	17	-47
6768r2	27072j2	141b2	10575o2	20727o2	51183c2	71487o2	122247g2	19881j2

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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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