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	3234b	Isogeny class
Conductor	3234	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-15006411366408 = -1 · 23 · 32 · 76 · 116	Discriminant
Eigenvalues	2+ 3+  0 7- 11+  4  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-1985,188637]	[a1,a2,a3,a4,a6]
j	-7357983625/127552392	j-invariant
L	1.1819101597483	L(r)(E,1)/r!
Ω	0.59095507987416	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	25872cw4 103488ds4 9702ca4 80850gb4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3234b4

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

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Quadratic twists for elliptic curve 3234b4

-4	8	-3	5	-7	-11
25872cw4	103488ds4	9702ca4	80850gb4	66a4	35574by4

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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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