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	8	Product of Tamagawa factors cp
Δ	72344958378 = 2 · 3 · 77 · 114	Discriminant
Eigenvalues	2+ 3-  2 7- 11- -2  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-11100,448984]	[a1,a2,a3,a4,a6]
j	1285429208617/614922	j-invariant
L	2.1546360018937	L(r)(E,1)/r!
Ω	1.0773180009469	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	25872bm4 103488z4 9702bx3 80850el4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3234n4

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 3234n4

-4	8	-3	5	-7	-11
25872bm4	103488z4	9702bx3	80850el4	462c3	35574dd4

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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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