Cremona's table of elliptic curves

3432 = 2³ · 3 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 11- 13+	Signs for the Atkin-Lehner involutions
Class	3432d	Isogeny class
Conductor	3432	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	1930266624 = 211 · 3 · 11 · 134	Discriminant
Eigenvalues	2+ 3- -2  0 11- 13+ -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1464,20976]	[a1,a2,a3,a4,a6]
Generators	[669:620:27]	Generators of the group modulo torsion
j	169556172914/942513	j-invariant
L	3.6888847557593	L(r)(E,1)/r!
Ω	1.486266357648	Real period
R	4.9639618588916	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	6864c3 27456h3 10296j3 85800by3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3432d4

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

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Quadratic twists for elliptic curve 3432d4

-4	8	-3	5	-11	13
6864c3	27456h3	10296j3	85800by3	37752x3	44616r3

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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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