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	8	Product of Tamagawa factors cp
deg	512	Modular degree for the optimal curve
Δ	-2965248 = -1 · 28 · 34 · 11 · 13	Discriminant
Eigenvalues	2+ 3- -2  0 11- 13+ -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,36,0]	[a1,a2,a3,a4,a6]
Generators	[3:12:1]	Generators of the group modulo torsion
j	19600688/11583	j-invariant
L	3.6888847557593	L(r)(E,1)/r!
Ω	1.486266357648	Real period
R	1.2409904647229	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	6864c1 27456h1 10296j1 85800by1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3432d1

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 3432d1

-4	8	-3	5	-11	13
6864c1	27456h1	10296j1	85800by1	37752x1	44616r1

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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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