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	3432g	Isogeny class
Conductor	3432	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-1488519316297728 = -1 · 211 · 34 · 11 · 138	Discriminant
Eigenvalues	2- 3+ -2  0 11- 13-  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,28496,-142580]	[a1,a2,a3,a4,a6]
j	1249482637192606/726816072411	j-invariant
L	1.1304095459149	L(r)(E,1)/r!
Ω	0.28260238647872	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	6864h6 27456x5 10296d6 85800ba5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3432g6

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	-2	-8	-2	2	-4	8	6	-4	-2	-12	16	2	16	4	-6	2

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Quadratic twists for elliptic curve 3432g6

-4	8	-3	5	-11	13
6864h6	27456x5	10296d6	85800ba5	37752d5	44616b5

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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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