Cremona's table of elliptic curves

3234 = 2 · 3 · 7² · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 11+	Signs for the Atkin-Lehner involutions
Class	3234u	Isogeny class
Conductor	3234	Conductor
∏ cp	112	Product of Tamagawa factors cp
Δ	1578571122699648 = 27 · 34 · 712 · 11	Discriminant
Eigenvalues	2- 3-  4 7- 11+  6  4  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-364806,-84817692]	[a1,a2,a3,a4,a6]
j	45637459887836881/13417633152	j-invariant
L	5.4393843723125	L(r)(E,1)/r!
Ω	0.19426372758259	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	25872cb2 103488cf2 9702z2 80850p2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3234u2

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

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Quadratic twists for elliptic curve 3234u2

-4	8	-3	5	-7	-11
25872cb2	103488cf2	9702z2	80850p2	462e2	35574bm2

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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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