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	3234i	Isogeny class
Conductor	3234	Conductor
∏ cp	9	Product of Tamagawa factors cp
deg	3024	Modular degree for the optimal curve
Δ	-13697167176 = -1 · 23 · 33 · 78 · 11	Discriminant
Eigenvalues	2+ 3- -3 7+ 11+  2  3  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-565,7592]	[a1,a2,a3,a4,a6]
j	-3451273/2376	j-invariant
L	1.1576896057179	L(r)(E,1)/r!
Ω	1.1576896057179	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	25872bf1 103488i1 9702bp1 80850dp1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3234i1

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
+	-	-3	+	+	2	3	2	3	-6	-4	2	-3	2	-9	6	-12	5	5	12	-16	17	9	-6	17

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Quadratic twists for elliptic curve 3234i1

-4	8	-3	5	-7	-11
25872bf1	103488i1	9702bp1	80850dp1	3234d1	35574co1

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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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