Cremona's table of elliptic curves

234 = 2 · 3² · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 13-	Signs for the Atkin-Lehner involutions
Class	234d	Isogeny class
Conductor	234	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	80951927472 = 24 · 311 · 134	Discriminant
Eigenvalues	2- 3- -2  4  4 13- -2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-186656,-30992493]	[a1,a2,a3,a4,a6]
j	986551739719628473/111045168	j-invariant
L	1.8375079963278	L(r)(E,1)/r!
Ω	0.22968849954097	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	1872r4 7488o3 78a4 5850m3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 234d3

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	4	-	-2	-8	0	-6	-4	-2	10	4	-8	10	-4	-2	-16	8	2	8	-12	-14	10

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Quadratic twists for elliptic curve 234d3

-4	8	-3	5	-7	-11	13	17	-19	-23
1872r4	7488o3	78a4	5850m3	11466bz4	28314u4	3042d3	67626bc4	84474p4	123786bn4

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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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