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	3234n	Isogeny class
Conductor	3234	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	503370893718 = 2 · 34 · 710 · 11	Discriminant
Eigenvalues	2+ 3-  2 7- 11- -2  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-6200,-185272]	[a1,a2,a3,a4,a6]
j	223980311017/4278582	j-invariant
L	2.1546360018937	L(r)(E,1)/r!
Ω	0.53865900047344	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	25872bm3 103488z3 9702bx4 80850el3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3234n3

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

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Quadratic twists for elliptic curve 3234n3

-4	8	-3	5	-7	-11
25872bm3	103488z3	9702bx4	80850el3	462c4	35574dd3

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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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