Cremona's table of elliptic curves

132 = 2² · 3 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 11-	Signs for the Atkin-Lehner involutions
Class	132a	Isogeny class
Conductor	132	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	92928 = 28 · 3 · 112	Discriminant
Eigenvalues	2- 3-  2 -2 11- -2  4 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-12,-12]	[a1,a2,a3,a4,a6]
j	810448/363	j-invariant
L	1.3281645787632	L(r)(E,1)/r!
Ω	2.6563291575265	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	528e2 2112c2 396b2 3300d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 132a2

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	-2	-	-2	4	-6	0	-8	-8	10	8	-2	-8	-2	12	10	12	8	6	-2	16	-14	-2

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Quadratic twists for elliptic curve 132a2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
528e2	2112c2	396b2	3300d2	6468h2	1452d2	22308e2	38148a2	47652f2	69828y2	111012a2	126852c2

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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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