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	234a	Isogeny class
Conductor	234	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-91487337786 = -1 · 2 · 36 · 137	Discriminant
Eigenvalues	2+ 3-  1  1  2 13+  3  6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-1914,35846]	[a1,a2,a3,a4,a6]
j	-1064019559329/125497034	j-invariant
L	1.0415729062323	L(r)(E,1)/r!
Ω	1.0415729062323	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1872n2 7488x2 26b2 5850bq2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 234a2

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	1	2	+	3	6	4	-2	4	3	0	-5	-13	-12	10	-8	-2	5	-10	-4	0	-6	14

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Quadratic twists for elliptic curve 234a2

-4	8	-3	5	-7	-11	13	17	-19	-23
1872n2	7488x2	26b2	5850bq2	11466w2	28314cb2	3042k2	67626h2	84474ce2	123786k2

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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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