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	64	Product of Tamagawa factors cp
Δ	51307686144 = 28 · 34 · 114 · 132	Discriminant
Eigenvalues	2- 3+ -2  0 11- 13-  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-4724,126084]	[a1,a2,a3,a4,a6]
j	45551779131472/200420649	j-invariant
L	1.1304095459149	L(r)(E,1)/r!
Ω	1.1304095459149	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	6864h2 27456x2 10296d2 85800ba2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3432g2

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 3432g2

-4	8	-3	5	-11	13
6864h2	27456x2	10296d2	85800ba2	37752d2	44616b2

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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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