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	64	Product of Tamagawa factors cp
deg	320	Modular degree for the optimal curve
Δ	-150923575296 = -1 · 216 · 311 · 13	Discriminant
Eigenvalues	2- 3- -2  4  4 13- -2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-176,-18669]	[a1,a2,a3,a4,a6]
j	-822656953/207028224	j-invariant
L	1.8375079963278	L(r)(E,1)/r!
Ω	0.45937699908195	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1872r1 7488o1 78a1 5850m1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 234d1

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 234d1

-4	8	-3	5	-7	-11	13	17	-19	-23
1872r1	7488o1	78a1	5850m1	11466bz1	28314u1	3042d1	67626bc1	84474p1	123786bn1

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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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