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	3234s	Isogeny class
Conductor	3234	Conductor
∏ cp	40	Product of Tamagawa factors cp
Δ	-54927217203894882 = -1 · 2 · 32 · 76 · 1110	Discriminant
Eigenvalues	2- 3+  4 7- 11- -4  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-492696,133383291]	[a1,a2,a3,a4,a6]
j	-112427521449300721/466873642818	j-invariant
L	3.5539228549336	L(r)(E,1)/r!
Ω	0.35539228549336	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	25872cs4 103488do4 9702t4 80850cp4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3234s4

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

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Quadratic twists for elliptic curve 3234s4

-4	8	-3	5	-7	-11
25872cs4	103488do4	9702t4	80850cp4	66c4	35574q4

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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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